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Finding the Fourth Proportional to 18,470.42, 27,689.10 and 6,780.92

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Solution

The fourth proportional to 18,470.42, 27,689.10 and 6,780.92 is: 10,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.42 : 27,689.10 = 6,780.92 : x
  2. Step 2: Convert to fraction form
    18,470.42/27,689.10 = 6,780.92/x
  3. Step 3: Cross multiply
    18,470.42x = 27,689.10 × 6,780.92
  4. Step 4: Simplify right side
    18,470.42x = 187,757,571.97
  5. Step 5: Solve for x
    x = 187,757,571.97/18,470.42
  6. Step 6: Final answer
    x = 10,165.31

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1.5x scale

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.