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Finding the Fourth Proportional to 10,012.70, 15,019.68 and 3,437.96

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Solution

The fourth proportional to 10,012.70, 15,019.68 and 3,437.96 is: 5,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.70 : 15,019.68 = 3,437.96 : x
  2. Step 2: Convert to fraction form
    10,012.70/15,019.68 = 3,437.96/x
  3. Step 3: Cross multiply
    10,012.70x = 15,019.68 × 3,437.96
  4. Step 4: Simplify right side
    10,012.70x = 51,637,059.05
  5. Step 5: Solve for x
    x = 51,637,059.05/10,012.70
  6. Step 6: Final answer
    x = 5,157.16

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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.