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Finding the Fourth Proportional to 8,117.31, 12,177.81 and 2,571

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Solution

The fourth proportional to 8,117.31, 12,177.81 and 2,571 is: 3,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.31 : 12,177.81 = 2,571 : x
  2. Step 2: Convert to fraction form
    8,117.31/12,177.81 = 2,571/x
  3. Step 3: Cross multiply
    8,117.31x = 12,177.81 × 2,571
  4. Step 4: Simplify right side
    8,117.31x = 31,309,149.51
  5. Step 5: Solve for x
    x = 31,309,149.51/8,117.31
  6. Step 6: Final answer
    x = 3,857.08

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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.