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Finding the Fourth Proportional to 21,778.92, 32,683.86 and 9,934.29

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Solution

The fourth proportional to 21,778.92, 32,683.86 and 9,934.29 is: 14,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.92 : 32,683.86 = 9,934.29 : x
  2. Step 2: Convert to fraction form
    21,778.92/32,683.86 = 9,934.29/x
  3. Step 3: Cross multiply
    21,778.92x = 32,683.86 × 9,934.29
  4. Step 4: Simplify right side
    21,778.92x = 324,690,943.56
  5. Step 5: Solve for x
    x = 324,690,943.56/21,778.92
  6. Step 6: Final answer
    x = 14,908.50

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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.