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Finding the Fourth Proportional to 3,764.58, 5,646.89 and 991.27

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Solution

The fourth proportional to 3,764.58, 5,646.89 and 991.27 is: 1,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.58 : 5,646.89 = 991.27 : x
  2. Step 2: Convert to fraction form
    3,764.58/5,646.89 = 991.27/x
  3. Step 3: Cross multiply
    3,764.58x = 5,646.89 × 991.27
  4. Step 4: Simplify right side
    3,764.58x = 5,597,592.65
  5. Step 5: Solve for x
    x = 5,597,592.65/3,764.58
  6. Step 6: Final answer
    x = 1,486.91

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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.