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Finding the Fourth Proportional to 23,705, 32,712.42 and 12,950

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Solution

The fourth proportional to 23,705, 32,712.42 and 12,950 is: 17,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705 : 32,712.42 = 12,950 : x
  2. Step 2: Convert to fraction form
    23,705/32,712.42 = 12,950/x
  3. Step 3: Cross multiply
    23,705x = 32,712.42 × 12,950
  4. Step 4: Simplify right side
    23,705x = 423,625,839
  5. Step 5: Solve for x
    x = 423,625,839/23,705
  6. Step 6: Final answer
    x = 17,870.74

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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.