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Finding the Fourth Proportional to 20,438.52, 30,657.04 and 5,648.28

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Solution

The fourth proportional to 20,438.52, 30,657.04 and 5,648.28 is: 8,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.52 : 30,657.04 = 5,648.28 : x
  2. Step 2: Convert to fraction form
    20,438.52/30,657.04 = 5,648.28/x
  3. Step 3: Cross multiply
    20,438.52x = 30,657.04 × 5,648.28
  4. Step 4: Simplify right side
    20,438.52x = 173,159,545.89
  5. Step 5: Solve for x
    x = 173,159,545.89/20,438.52
  6. Step 6: Final answer
    x = 8,472.22

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1.5x scale

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.