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Finding the Fourth Proportional to 20,979, 31,480.85 and 9,292.32

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Solution

The fourth proportional to 20,979, 31,480.85 and 9,292.32 is: 13,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979 : 31,480.85 = 9,292.32 : x
  2. Step 2: Convert to fraction form
    20,979/31,480.85 = 9,292.32/x
  3. Step 3: Cross multiply
    20,979x = 31,480.85 × 9,292.32
  4. Step 4: Simplify right side
    20,979x = 292,530,155.30
  5. Step 5: Solve for x
    x = 292,530,155.30/20,979
  6. Step 6: Final answer
    x = 13,943.95

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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.