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Finding the Fourth Proportional to 8,124.57, 12,185.76 and 2,281.65

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Solution

The fourth proportional to 8,124.57, 12,185.76 and 2,281.65 is: 3,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.57 : 12,185.76 = 2,281.65 : x
  2. Step 2: Convert to fraction form
    8,124.57/12,185.76 = 2,281.65/x
  3. Step 3: Cross multiply
    8,124.57x = 12,185.76 × 2,281.65
  4. Step 4: Simplify right side
    8,124.57x = 27,803,639.30
  5. Step 5: Solve for x
    x = 27,803,639.30/8,124.57
  6. Step 6: Final answer
    x = 3,422.17

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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.