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Finding the Fourth Proportional to 3,608.32, 5,411.28 and 1,387

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Solution

The fourth proportional to 3,608.32, 5,411.28 and 1,387 is: 2,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.32 : 5,411.28 = 1,387 : x
  2. Step 2: Convert to fraction form
    3,608.32/5,411.28 = 1,387/x
  3. Step 3: Cross multiply
    3,608.32x = 5,411.28 × 1,387
  4. Step 4: Simplify right side
    3,608.32x = 7,505,445.36
  5. Step 5: Solve for x
    x = 7,505,445.36/3,608.32
  6. Step 6: Final answer
    x = 2,080.04

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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.