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Finding the Fourth Proportional to 18,115.60, 24,997.80 and 10,156

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Solution

The fourth proportional to 18,115.60, 24,997.80 and 10,156 is: 14,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,115.60 : 24,997.80 = 10,156 : x
  2. Step 2: Convert to fraction form
    18,115.60/24,997.80 = 10,156/x
  3. Step 3: Cross multiply
    18,115.60x = 24,997.80 × 10,156
  4. Step 4: Simplify right side
    18,115.60x = 253,877,656.80
  5. Step 5: Solve for x
    x = 253,877,656.80/18,115.60
  6. Step 6: Final answer
    x = 14,014.31

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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.