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Finding the Fourth Proportional to 21,988.81, 32,976.86 and 10,737.20

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Solution

The fourth proportional to 21,988.81, 32,976.86 and 10,737.20 is: 16,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.81 : 32,976.86 = 10,737.20 : x
  2. Step 2: Convert to fraction form
    21,988.81/32,976.86 = 10,737.20/x
  3. Step 3: Cross multiply
    21,988.81x = 32,976.86 × 10,737.20
  4. Step 4: Simplify right side
    21,988.81x = 354,079,230.34
  5. Step 5: Solve for x
    x = 354,079,230.34/21,988.81
  6. Step 6: Final answer
    x = 16,102.70

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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.