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Finding the Fourth Proportional to 27,170.71, 40,761.56 and 9,641.90

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Solution

The fourth proportional to 27,170.71, 40,761.56 and 9,641.90 is: 14,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.71 : 40,761.56 = 9,641.90 : x
  2. Step 2: Convert to fraction form
    27,170.71/40,761.56 = 9,641.90/x
  3. Step 3: Cross multiply
    27,170.71x = 40,761.56 × 9,641.90
  4. Step 4: Simplify right side
    27,170.71x = 393,019,011.37
  5. Step 5: Solve for x
    x = 393,019,011.37/27,170.71
  6. Step 6: Final answer
    x = 14,464.81

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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.