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Finding the Fourth Proportional to 23,471, 32,390 and 12,860.68

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Solution

The fourth proportional to 23,471, 32,390 and 12,860.68 is: 17,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471 : 32,390 = 12,860.68 : x
  2. Step 2: Convert to fraction form
    23,471/32,390 = 12,860.68/x
  3. Step 3: Cross multiply
    23,471x = 32,390 × 12,860.68
  4. Step 4: Simplify right side
    23,471x = 416,557,425.20
  5. Step 5: Solve for x
    x = 416,557,425.20/23,471
  6. Step 6: Final answer
    x = 17,747.75

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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.