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Finding the Fourth Proportional to 10,463.12, 15,613.78 and 9,299.60

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Solution

The fourth proportional to 10,463.12, 15,613.78 and 9,299.60 is: 13,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.12 : 15,613.78 = 9,299.60 : x
  2. Step 2: Convert to fraction form
    10,463.12/15,613.78 = 9,299.60/x
  3. Step 3: Cross multiply
    10,463.12x = 15,613.78 × 9,299.60
  4. Step 4: Simplify right side
    10,463.12x = 145,201,908.49
  5. Step 5: Solve for x
    x = 145,201,908.49/10,463.12
  6. Step 6: Final answer
    x = 13,877.50

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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.