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Finding the Fourth Proportional to 3,755.32, 5,634.42 and 1,447

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Solution

The fourth proportional to 3,755.32, 5,634.42 and 1,447 is: 2,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.32 : 5,634.42 = 1,447 : x
  2. Step 2: Convert to fraction form
    3,755.32/5,634.42 = 1,447/x
  3. Step 3: Cross multiply
    3,755.32x = 5,634.42 × 1,447
  4. Step 4: Simplify right side
    3,755.32x = 8,153,005.74
  5. Step 5: Solve for x
    x = 8,153,005.74/3,755.32
  6. Step 6: Final answer
    x = 2,171.05

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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.