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Finding the Fourth Proportional to 3,764.53, 5,647.13 and 991.16

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Solution

The fourth proportional to 3,764.53, 5,647.13 and 991.16 is: 1,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.53 : 5,647.13 = 991.16 : x
  2. Step 2: Convert to fraction form
    3,764.53/5,647.13 = 991.16/x
  3. Step 3: Cross multiply
    3,764.53x = 5,647.13 × 991.16
  4. Step 4: Simplify right side
    3,764.53x = 5,597,176.18
  5. Step 5: Solve for x
    x = 5,597,176.18/3,764.53
  6. Step 6: Final answer
    x = 1,486.82

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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.