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Finding the Fourth Proportional to 8,120.31, 12,182.31 and 2,574

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Solution

The fourth proportional to 8,120.31, 12,182.31 and 2,574 is: 3,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.31 : 12,182.31 = 2,574 : x
  2. Step 2: Convert to fraction form
    8,120.31/12,182.31 = 2,574/x
  3. Step 3: Cross multiply
    8,120.31x = 12,182.31 × 2,574
  4. Step 4: Simplify right side
    8,120.31x = 31,357,265.94
  5. Step 5: Solve for x
    x = 31,357,265.94/8,120.31
  6. Step 6: Final answer
    x = 3,861.58

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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.