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Finding the Fourth Proportional to 20,572.92, 30,859.43 and 7,434.57

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Solution

The fourth proportional to 20,572.92, 30,859.43 and 7,434.57 is: 11,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.92 : 30,859.43 = 7,434.57 : x
  2. Step 2: Convert to fraction form
    20,572.92/30,859.43 = 7,434.57/x
  3. Step 3: Cross multiply
    20,572.92x = 30,859.43 × 7,434.57
  4. Step 4: Simplify right side
    20,572.92x = 229,426,555.32
  5. Step 5: Solve for x
    x = 229,426,555.32/20,572.92
  6. Step 6: Final answer
    x = 11,151.87

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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.