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Finding the Fourth Proportional to 18,140.91, 27,221.88 and 7,610

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Solution

The fourth proportional to 18,140.91, 27,221.88 and 7,610 is: 11,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.91 : 27,221.88 = 7,610 : x
  2. Step 2: Convert to fraction form
    18,140.91/27,221.88 = 7,610/x
  3. Step 3: Cross multiply
    18,140.91x = 27,221.88 × 7,610
  4. Step 4: Simplify right side
    18,140.91x = 207,158,468.75
  5. Step 5: Solve for x
    x = 207,158,468.75/18,140.91
  6. Step 6: Final answer
    x = 11,419.41

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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.