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Finding the Fourth Proportional to 28,494.64, 42,769.52 and 13,713.76

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Solution

The fourth proportional to 28,494.64, 42,769.52 and 13,713.76 is: 20,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,494.64 : 42,769.52 = 13,713.76 : x
  2. Step 2: Convert to fraction form
    28,494.64/42,769.52 = 13,713.76/x
  3. Step 3: Cross multiply
    28,494.64x = 42,769.52 × 13,713.76
  4. Step 4: Simplify right side
    28,494.64x = 586,530,932.60
  5. Step 5: Solve for x
    x = 586,530,932.60/28,494.64
  6. Step 6: Final answer
    x = 20,583.90

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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.