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Finding the Fourth Proportional to 28,325, 42,487.56 and 9,857

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Solution

The fourth proportional to 28,325, 42,487.56 and 9,857 is: 14,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,325 : 42,487.56 = 9,857 : x
  2. Step 2: Convert to fraction form
    28,325/42,487.56 = 9,857/x
  3. Step 3: Cross multiply
    28,325x = 42,487.56 × 9,857
  4. Step 4: Simplify right side
    28,325x = 418,799,878.92
  5. Step 5: Solve for x
    x = 418,799,878.92/28,325
  6. Step 6: Final answer
    x = 14,785.52

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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.