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Finding the Fourth Proportional to 3,687.50, 5,531.26 and 951.50

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Solution

The fourth proportional to 3,687.50, 5,531.26 and 951.50 is: 1,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.50 : 5,531.26 = 951.50 : x
  2. Step 2: Convert to fraction form
    3,687.50/5,531.26 = 951.50/x
  3. Step 3: Cross multiply
    3,687.50x = 5,531.26 × 951.50
  4. Step 4: Simplify right side
    3,687.50x = 5,262,993.89
  5. Step 5: Solve for x
    x = 5,262,993.89/3,687.50
  6. Step 6: Final answer
    x = 1,427.25

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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.