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Finding the Fourth Proportional to 3,147.82, 4,721.10 and 2,991.70

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Solution

The fourth proportional to 3,147.82, 4,721.10 and 2,991.70 is: 4,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.82 : 4,721.10 = 2,991.70 : x
  2. Step 2: Convert to fraction form
    3,147.82/4,721.10 = 2,991.70/x
  3. Step 3: Cross multiply
    3,147.82x = 4,721.10 × 2,991.70
  4. Step 4: Simplify right side
    3,147.82x = 14,124,114.87
  5. Step 5: Solve for x
    x = 14,124,114.87/3,147.82
  6. Step 6: Final answer
    x = 4,486.95

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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.