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Finding the Fourth Proportional to 3,812.97, 5,730.21 and 2,253.71

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Solution

The fourth proportional to 3,812.97, 5,730.21 and 2,253.71 is: 3,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.97 : 5,730.21 = 2,253.71 : x
  2. Step 2: Convert to fraction form
    3,812.97/5,730.21 = 2,253.71/x
  3. Step 3: Cross multiply
    3,812.97x = 5,730.21 × 2,253.71
  4. Step 4: Simplify right side
    3,812.97x = 12,914,228.34
  5. Step 5: Solve for x
    x = 12,914,228.34/3,812.97
  6. Step 6: Final answer
    x = 3,386.92

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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.