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Finding the Fourth Proportional to 10,012.70, 15,019.05 and 9,586.10

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Solution

The fourth proportional to 10,012.70, 15,019.05 and 9,586.10 is: 14,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.70 : 15,019.05 = 9,586.10 : x
  2. Step 2: Convert to fraction form
    10,012.70/15,019.05 = 9,586.10/x
  3. Step 3: Cross multiply
    10,012.70x = 15,019.05 × 9,586.10
  4. Step 4: Simplify right side
    10,012.70x = 143,974,115.21
  5. Step 5: Solve for x
    x = 143,974,115.21/10,012.70
  6. Step 6: Final answer
    x = 14,379.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.