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Finding the Fourth Proportional to 10,658.64, 14,732.28 and 9,390

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Solution

The fourth proportional to 10,658.64, 14,732.28 and 9,390 is: 12,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.64 : 14,732.28 = 9,390 : x
  2. Step 2: Convert to fraction form
    10,658.64/14,732.28 = 9,390/x
  3. Step 3: Cross multiply
    10,658.64x = 14,732.28 × 9,390
  4. Step 4: Simplify right side
    10,658.64x = 138,336,109.20
  5. Step 5: Solve for x
    x = 138,336,109.20/10,658.64
  6. Step 6: Final answer
    x = 12,978.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.