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Finding the Fourth Proportional to 21,878.60, 32,780.10 and 10,167.80

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Solution

The fourth proportional to 21,878.60, 32,780.10 and 10,167.80 is: 15,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.60 : 32,780.10 = 10,167.80 : x
  2. Step 2: Convert to fraction form
    21,878.60/32,780.10 = 10,167.80/x
  3. Step 3: Cross multiply
    21,878.60x = 32,780.10 × 10,167.80
  4. Step 4: Simplify right side
    21,878.60x = 333,301,500.78
  5. Step 5: Solve for x
    x = 333,301,500.78/21,878.60
  6. Step 6: Final answer
    x = 15,234.13

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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.