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Finding the Fourth Proportional to 2,377.50, 3,280.95 and 1,446

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Solution

The fourth proportional to 2,377.50, 3,280.95 and 1,446 is: 1,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.50 : 3,280.95 = 1,446 : x
  2. Step 2: Convert to fraction form
    2,377.50/3,280.95 = 1,446/x
  3. Step 3: Cross multiply
    2,377.50x = 3,280.95 × 1,446
  4. Step 4: Simplify right side
    2,377.50x = 4,744,253.70
  5. Step 5: Solve for x
    x = 4,744,253.70/2,377.50
  6. Step 6: Final answer
    x = 1,995.48

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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.