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Finding the Fourth Proportional to 15,421.71, 21,282 and 8,348.13

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Solution

The fourth proportional to 15,421.71, 21,282 and 8,348.13 is: 11,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,421.71 : 21,282 = 8,348.13 : x
  2. Step 2: Convert to fraction form
    15,421.71/21,282 = 8,348.13/x
  3. Step 3: Cross multiply
    15,421.71x = 21,282 × 8,348.13
  4. Step 4: Simplify right side
    15,421.71x = 177,664,902.66
  5. Step 5: Solve for x
    x = 177,664,902.66/15,421.71
  6. Step 6: Final answer
    x = 11,520.44

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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.