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Finding the Fourth Proportional to 3,991.38, 5,509.38 and 2,575.11

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Solution

The fourth proportional to 3,991.38, 5,509.38 and 2,575.11 is: 3,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.38 : 5,509.38 = 2,575.11 : x
  2. Step 2: Convert to fraction form
    3,991.38/5,509.38 = 2,575.11/x
  3. Step 3: Cross multiply
    3,991.38x = 5,509.38 × 2,575.11
  4. Step 4: Simplify right side
    3,991.38x = 14,187,225.55
  5. Step 5: Solve for x
    x = 14,187,225.55/3,991.38
  6. Step 6: Final answer
    x = 3,554.47

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.