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Finding the Fourth Proportional to 3,983.66, 5,497.19 and 2,491.50

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Solution

The fourth proportional to 3,983.66, 5,497.19 and 2,491.50 is: 3,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.66 : 5,497.19 = 2,491.50 : x
  2. Step 2: Convert to fraction form
    3,983.66/5,497.19 = 2,491.50/x
  3. Step 3: Cross multiply
    3,983.66x = 5,497.19 × 2,491.50
  4. Step 4: Simplify right side
    3,983.66x = 13,696,236.43
  5. Step 5: Solve for x
    x = 13,696,236.43/3,983.66
  6. Step 6: Final answer
    x = 3,438.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.