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Finding the Fourth Proportional to 10,459.71, 15,614.31 and 8,962.81

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Solution

The fourth proportional to 10,459.71, 15,614.31 and 8,962.81 is: 13,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.71 : 15,614.31 = 8,962.81 : x
  2. Step 2: Convert to fraction form
    10,459.71/15,614.31 = 8,962.81/x
  3. Step 3: Cross multiply
    10,459.71x = 15,614.31 × 8,962.81
  4. Step 4: Simplify right side
    10,459.71x = 139,948,093.81
  5. Step 5: Solve for x
    x = 139,948,093.81/10,459.71
  6. Step 6: Final answer
    x = 13,379.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.