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Finding the Fourth Proportional to 3,764.81, 5,646.74 and 991.50

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Solution

The fourth proportional to 3,764.81, 5,646.74 and 991.50 is: 1,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.81 : 5,646.74 = 991.50 : x
  2. Step 2: Convert to fraction form
    3,764.81/5,646.74 = 991.50/x
  3. Step 3: Cross multiply
    3,764.81x = 5,646.74 × 991.50
  4. Step 4: Simplify right side
    3,764.81x = 5,598,737.75
  5. Step 5: Solve for x
    x = 5,598,737.75/3,764.81
  6. Step 6: Final answer
    x = 1,487.13

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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.