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Finding the Fourth Proportional to 28,454.57, 42,681.86 and 9,734.78

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Solution

The fourth proportional to 28,454.57, 42,681.86 and 9,734.78 is: 14,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,454.57 : 42,681.86 = 9,734.78 : x
  2. Step 2: Convert to fraction form
    28,454.57/42,681.86 = 9,734.78/x
  3. Step 3: Cross multiply
    28,454.57x = 42,681.86 × 9,734.78
  4. Step 4: Simplify right side
    28,454.57x = 415,498,517.09
  5. Step 5: Solve for x
    x = 415,498,517.09/28,454.57
  6. Step 6: Final answer
    x = 14,602.17

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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.