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Finding the Fourth Proportional to 20,572.80, 30,863.52 and 6,720

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Solution

The fourth proportional to 20,572.80, 30,863.52 and 6,720 is: 10,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.80 : 30,863.52 = 6,720 : x
  2. Step 2: Convert to fraction form
    20,572.80/30,863.52 = 6,720/x
  3. Step 3: Cross multiply
    20,572.80x = 30,863.52 × 6,720
  4. Step 4: Simplify right side
    20,572.80x = 207,402,854.40
  5. Step 5: Solve for x
    x = 207,402,854.40/20,572.80
  6. Step 6: Final answer
    x = 10,081.41

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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.