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Finding the Fourth Proportional to 23,781.78, 32,817.78 and 13,170.78

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Solution

The fourth proportional to 23,781.78, 32,817.78 and 13,170.78 is: 18,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.78 : 32,817.78 = 13,170.78 : x
  2. Step 2: Convert to fraction form
    23,781.78/32,817.78 = 13,170.78/x
  3. Step 3: Cross multiply
    23,781.78x = 32,817.78 × 13,170.78
  4. Step 4: Simplify right side
    23,781.78x = 432,235,760.47
  5. Step 5: Solve for x
    x = 432,235,760.47/23,781.78
  6. Step 6: Final answer
    x = 18,175.08

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1.5x scale

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.