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Finding the Fourth Proportional to 15,891.61, 21,931.10 and 8,818.03

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Solution

The fourth proportional to 15,891.61, 21,931.10 and 8,818.03 is: 12,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.61 : 21,931.10 = 8,818.03 : x
  2. Step 2: Convert to fraction form
    15,891.61/21,931.10 = 8,818.03/x
  3. Step 3: Cross multiply
    15,891.61x = 21,931.10 × 8,818.03
  4. Step 4: Simplify right side
    15,891.61x = 193,389,163.73
  5. Step 5: Solve for x
    x = 193,389,163.73/15,891.61
  6. Step 6: Final answer
    x = 12,169.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.