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Finding the Fourth Proportional to 2,491, 3,438.30 and 1,663

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Solution

The fourth proportional to 2,491, 3,438.30 and 1,663 is: 2,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491 : 3,438.30 = 1,663 : x
  2. Step 2: Convert to fraction form
    2,491/3,438.30 = 1,663/x
  3. Step 3: Cross multiply
    2,491x = 3,438.30 × 1,663
  4. Step 4: Simplify right side
    2,491x = 5,717,892.90
  5. Step 5: Solve for x
    x = 5,717,892.90/2,491
  6. Step 6: Final answer
    x = 2,295.42

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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.