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Finding the Fourth Proportional to 20,981, 31,483.85 and 9,294.32

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Solution

The fourth proportional to 20,981, 31,483.85 and 9,294.32 is: 13,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981 : 31,483.85 = 9,294.32 : x
  2. Step 2: Convert to fraction form
    20,981/31,483.85 = 9,294.32/x
  3. Step 3: Cross multiply
    20,981x = 31,483.85 × 9,294.32
  4. Step 4: Simplify right side
    20,981x = 292,620,976.73
  5. Step 5: Solve for x
    x = 292,620,976.73/20,981
  6. Step 6: Final answer
    x = 13,946.95

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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.