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Finding the Fourth Proportional to 10,393.38, 15,565.68 and 9,018

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Solution

The fourth proportional to 10,393.38, 15,565.68 and 9,018 is: 13,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.38 : 15,565.68 = 9,018 : x
  2. Step 2: Convert to fraction form
    10,393.38/15,565.68 = 9,018/x
  3. Step 3: Cross multiply
    10,393.38x = 15,565.68 × 9,018
  4. Step 4: Simplify right side
    10,393.38x = 140,371,302.24
  5. Step 5: Solve for x
    x = 140,371,302.24/10,393.38
  6. Step 6: Final answer
    x = 13,505.84

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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.