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Finding the Fourth Proportional to 28,242.40, 42,349.92 and 8,517.28

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Solution

The fourth proportional to 28,242.40, 42,349.92 and 8,517.28 is: 12,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242.40 : 42,349.92 = 8,517.28 : x
  2. Step 2: Convert to fraction form
    28,242.40/42,349.92 = 8,517.28/x
  3. Step 3: Cross multiply
    28,242.40x = 42,349.92 × 8,517.28
  4. Step 4: Simplify right side
    28,242.40x = 360,706,126.62
  5. Step 5: Solve for x
    x = 360,706,126.62/28,242.40
  6. Step 6: Final answer
    x = 12,771.79

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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.