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Finding the Fourth Proportional to 18,001.68, 27,001.60 and 6,314

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Solution

The fourth proportional to 18,001.68, 27,001.60 and 6,314 is: 9,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,001.68 : 27,001.60 = 6,314 : x
  2. Step 2: Convert to fraction form
    18,001.68/27,001.60 = 6,314/x
  3. Step 3: Cross multiply
    18,001.68x = 27,001.60 × 6,314
  4. Step 4: Simplify right side
    18,001.68x = 170,488,102.40
  5. Step 5: Solve for x
    x = 170,488,102.40/18,001.68
  6. Step 6: Final answer
    x = 9,470.68

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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.