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Finding the Fourth Proportional to 28,615.80, 42,932.70 and 13,825.20

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Solution

The fourth proportional to 28,615.80, 42,932.70 and 13,825.20 is: 20,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,615.80 : 42,932.70 = 13,825.20 : x
  2. Step 2: Convert to fraction form
    28,615.80/42,932.70 = 13,825.20/x
  3. Step 3: Cross multiply
    28,615.80x = 42,932.70 × 13,825.20
  4. Step 4: Simplify right side
    28,615.80x = 593,553,164.04
  5. Step 5: Solve for x
    x = 593,553,164.04/28,615.80
  6. Step 6: Final answer
    x = 20,742.15

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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.