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Finding the Fourth Proportional to 3,607.31, 5,410.94 and 1,385.61

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Solution

The fourth proportional to 3,607.31, 5,410.94 and 1,385.61 is: 2,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.31 : 5,410.94 = 1,385.61 : x
  2. Step 2: Convert to fraction form
    3,607.31/5,410.94 = 1,385.61/x
  3. Step 3: Cross multiply
    3,607.31x = 5,410.94 × 1,385.61
  4. Step 4: Simplify right side
    3,607.31x = 7,497,445.65
  5. Step 5: Solve for x
    x = 7,497,445.65/3,607.31
  6. Step 6: Final answer
    x = 2,078.41

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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.