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Finding the Fourth Proportional to 28,101.20, 38,782.20 and 15,530

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Solution

The fourth proportional to 28,101.20, 38,782.20 and 15,530 is: 21,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,101.20 : 38,782.20 = 15,530 : x
  2. Step 2: Convert to fraction form
    28,101.20/38,782.20 = 15,530/x
  3. Step 3: Cross multiply
    28,101.20x = 38,782.20 × 15,530
  4. Step 4: Simplify right side
    28,101.20x = 602,287,566
  5. Step 5: Solve for x
    x = 602,287,566/28,101.20
  6. Step 6: Final answer
    x = 21,432.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.