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Finding the Fourth Proportional to 23,131, 31,920.78 and 13,195

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Solution

The fourth proportional to 23,131, 31,920.78 and 13,195 is: 18,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131 : 31,920.78 = 13,195 : x
  2. Step 2: Convert to fraction form
    23,131/31,920.78 = 13,195/x
  3. Step 3: Cross multiply
    23,131x = 31,920.78 × 13,195
  4. Step 4: Simplify right side
    23,131x = 421,194,692.10
  5. Step 5: Solve for x
    x = 421,194,692.10/23,131
  6. Step 6: Final answer
    x = 18,209.10

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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.