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Finding the Fourth Proportional to 28,323.36, 42,480.18 and 7,542

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Solution

The fourth proportional to 28,323.36, 42,480.18 and 7,542 is: 11,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,323.36 : 42,480.18 = 7,542 : x
  2. Step 2: Convert to fraction form
    28,323.36/42,480.18 = 7,542/x
  3. Step 3: Cross multiply
    28,323.36x = 42,480.18 × 7,542
  4. Step 4: Simplify right side
    28,323.36x = 320,385,517.56
  5. Step 5: Solve for x
    x = 320,385,517.56/28,323.36
  6. Step 6: Final answer
    x = 11,311.71

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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.