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Finding the Fourth Proportional to 21,737.72, 32,587.02 and 7,877

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Solution

The fourth proportional to 21,737.72, 32,587.02 and 7,877 is: 11,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.72 : 32,587.02 = 7,877 : x
  2. Step 2: Convert to fraction form
    21,737.72/32,587.02 = 7,877/x
  3. Step 3: Cross multiply
    21,737.72x = 32,587.02 × 7,877
  4. Step 4: Simplify right side
    21,737.72x = 256,687,956.54
  5. Step 5: Solve for x
    x = 256,687,956.54/21,737.72
  6. Step 6: Final answer
    x = 11,808.41

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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.