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Finding the Fourth Proportional to 28,468.64, 42,703.52 and 7,691.52

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Solution

The fourth proportional to 28,468.64, 42,703.52 and 7,691.52 is: 11,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,468.64 : 42,703.52 = 7,691.52 : x
  2. Step 2: Convert to fraction form
    28,468.64/42,703.52 = 7,691.52/x
  3. Step 3: Cross multiply
    28,468.64x = 42,703.52 × 7,691.52
  4. Step 4: Simplify right side
    28,468.64x = 328,454,978.15
  5. Step 5: Solve for x
    x = 328,454,978.15/28,468.64
  6. Step 6: Final answer
    x = 11,537.43

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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.