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Finding the Fourth Proportional to 28,581.60, 42,875.28 and 9,859.20

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Solution

The fourth proportional to 28,581.60, 42,875.28 and 9,859.20 is: 14,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,581.60 : 42,875.28 = 9,859.20 : x
  2. Step 2: Convert to fraction form
    28,581.60/42,875.28 = 9,859.20/x
  3. Step 3: Cross multiply
    28,581.60x = 42,875.28 × 9,859.20
  4. Step 4: Simplify right side
    28,581.60x = 422,715,960.58
  5. Step 5: Solve for x
    x = 422,715,960.58/28,581.60
  6. Step 6: Final answer
    x = 14,789.79

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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.