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Finding the Fourth Proportional to 18,998, 26,217.25 and 10,614.50

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Solution

The fourth proportional to 18,998, 26,217.25 and 10,614.50 is: 14,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,998 : 26,217.25 = 10,614.50 : x
  2. Step 2: Convert to fraction form
    18,998/26,217.25 = 10,614.50/x
  3. Step 3: Cross multiply
    18,998x = 26,217.25 × 10,614.50
  4. Step 4: Simplify right side
    18,998x = 278,283,000.13
  5. Step 5: Solve for x
    x = 278,283,000.13/18,998
  6. Step 6: Final answer
    x = 14,648.02

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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.