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Finding the Fourth Proportional to 3,671.98, 5,071.44 and 2,491

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Solution

The fourth proportional to 3,671.98, 5,071.44 and 2,491 is: 3,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.98 : 5,071.44 = 2,491 : x
  2. Step 2: Convert to fraction form
    3,671.98/5,071.44 = 2,491/x
  3. Step 3: Cross multiply
    3,671.98x = 5,071.44 × 2,491
  4. Step 4: Simplify right side
    3,671.98x = 12,632,957.04
  5. Step 5: Solve for x
    x = 12,632,957.04/3,671.98
  6. Step 6: Final answer
    x = 3,440.37

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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.