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Finding the Fourth Proportional to 21,336.30, 31,978.49 and 15,098.11

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Solution

The fourth proportional to 21,336.30, 31,978.49 and 15,098.11 is: 22,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,336.30 : 31,978.49 = 15,098.11 : x
  2. Step 2: Convert to fraction form
    21,336.30/31,978.49 = 15,098.11/x
  3. Step 3: Cross multiply
    21,336.30x = 31,978.49 × 15,098.11
  4. Step 4: Simplify right side
    21,336.30x = 482,814,604.22
  5. Step 5: Solve for x
    x = 482,814,604.22/21,336.30
  6. Step 6: Final answer
    x = 22,628.79

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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.