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Finding the Fourth Proportional to 21,423, 32,134.92 and 5,841.03

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Solution

The fourth proportional to 21,423, 32,134.92 and 5,841.03 is: 8,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423 : 32,134.92 = 5,841.03 : x
  2. Step 2: Convert to fraction form
    21,423/32,134.92 = 5,841.03/x
  3. Step 3: Cross multiply
    21,423x = 32,134.92 × 5,841.03
  4. Step 4: Simplify right side
    21,423x = 187,701,031.77
  5. Step 5: Solve for x
    x = 187,701,031.77/21,423
  6. Step 6: Final answer
    x = 8,761.66

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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.