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Finding the Fourth Proportional to 21,674.57, 32,537.78 and 12,913.61

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Solution

The fourth proportional to 21,674.57, 32,537.78 and 12,913.61 is: 19,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.57 : 32,537.78 = 12,913.61 : x
  2. Step 2: Convert to fraction form
    21,674.57/32,537.78 = 12,913.61/x
  3. Step 3: Cross multiply
    21,674.57x = 32,537.78 × 12,913.61
  4. Step 4: Simplify right side
    21,674.57x = 420,179,973.93
  5. Step 5: Solve for x
    x = 420,179,973.93/21,674.57
  6. Step 6: Final answer
    x = 19,385.85

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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.