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Finding the Fourth Proportional to 9,857.70, 14,786.55 and 9,431.10

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Solution

The fourth proportional to 9,857.70, 14,786.55 and 9,431.10 is: 14,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.70 : 14,786.55 = 9,431.10 : x
  2. Step 2: Convert to fraction form
    9,857.70/14,786.55 = 9,431.10/x
  3. Step 3: Cross multiply
    9,857.70x = 14,786.55 × 9,431.10
  4. Step 4: Simplify right side
    9,857.70x = 139,453,431.71
  5. Step 5: Solve for x
    x = 139,453,431.71/9,857.70
  6. Step 6: Final answer
    x = 14,146.65

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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.