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Finding the Fourth Proportional to 3,071.50, 4,607.31 and 763

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Solution

The fourth proportional to 3,071.50, 4,607.31 and 763 is: 1,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.50 : 4,607.31 = 763 : x
  2. Step 2: Convert to fraction form
    3,071.50/4,607.31 = 763/x
  3. Step 3: Cross multiply
    3,071.50x = 4,607.31 × 763
  4. Step 4: Simplify right side
    3,071.50x = 3,515,377.53
  5. Step 5: Solve for x
    x = 3,515,377.53/3,071.50
  6. Step 6: Final answer
    x = 1,144.51

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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.