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Finding the Fourth Proportional to 3,687.40, 5,531.14 and 914.12

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Solution

The fourth proportional to 3,687.40, 5,531.14 and 914.12 is: 1,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.40 : 5,531.14 = 914.12 : x
  2. Step 2: Convert to fraction form
    3,687.40/5,531.14 = 914.12/x
  3. Step 3: Cross multiply
    3,687.40x = 5,531.14 × 914.12
  4. Step 4: Simplify right side
    3,687.40x = 5,056,125.70
  5. Step 5: Solve for x
    x = 5,056,125.70/3,687.40
  6. Step 6: Final answer
    x = 1,371.19

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1.5x scale

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.