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Finding the Fourth Proportional to 2,371.52, 3,272.70 and 1,377

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Solution

The fourth proportional to 2,371.52, 3,272.70 and 1,377 is: 1,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.52 : 3,272.70 = 1,377 : x
  2. Step 2: Convert to fraction form
    2,371.52/3,272.70 = 1,377/x
  3. Step 3: Cross multiply
    2,371.52x = 3,272.70 × 1,377
  4. Step 4: Simplify right side
    2,371.52x = 4,506,507.90
  5. Step 5: Solve for x
    x = 4,506,507.90/2,371.52
  6. Step 6: Final answer
    x = 1,900.26

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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.