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Finding the Fourth Proportional to 20,478.58, 30,717.88 and 5,687.52

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Solution

The fourth proportional to 20,478.58, 30,717.88 and 5,687.52 is: 8,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.58 : 30,717.88 = 5,687.52 : x
  2. Step 2: Convert to fraction form
    20,478.58/30,717.88 = 5,687.52/x
  3. Step 3: Cross multiply
    20,478.58x = 30,717.88 × 5,687.52
  4. Step 4: Simplify right side
    20,478.58x = 174,708,556.86
  5. Step 5: Solve for x
    x = 174,708,556.86/20,478.58
  6. Step 6: Final answer
    x = 8,531.28

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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.