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Finding the Fourth Proportional to 28,375.83, 42,569.88 and 8,653.86

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Solution

The fourth proportional to 28,375.83, 42,569.88 and 8,653.86 is: 12,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,375.83 : 42,569.88 = 8,653.86 : x
  2. Step 2: Convert to fraction form
    28,375.83/42,569.88 = 8,653.86/x
  3. Step 3: Cross multiply
    28,375.83x = 42,569.88 × 8,653.86
  4. Step 4: Simplify right side
    28,375.83x = 368,393,781.74
  5. Step 5: Solve for x
    x = 368,393,781.74/28,375.83
  6. Step 6: Final answer
    x = 12,982.66

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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.