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Finding the Fourth Proportional to 3,517.03, 5,275.59 and 919.90

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Solution

The fourth proportional to 3,517.03, 5,275.59 and 919.90 is: 1,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.03 : 5,275.59 = 919.90 : x
  2. Step 2: Convert to fraction form
    3,517.03/5,275.59 = 919.90/x
  3. Step 3: Cross multiply
    3,517.03x = 5,275.59 × 919.90
  4. Step 4: Simplify right side
    3,517.03x = 4,853,015.24
  5. Step 5: Solve for x
    x = 4,853,015.24/3,517.03
  6. Step 6: Final answer
    x = 1,379.86

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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.