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Finding the Fourth Proportional to 3,543.72, 5,315.61 and 1,351.86

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Solution

The fourth proportional to 3,543.72, 5,315.61 and 1,351.86 is: 2,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.72 : 5,315.61 = 1,351.86 : x
  2. Step 2: Convert to fraction form
    3,543.72/5,315.61 = 1,351.86/x
  3. Step 3: Cross multiply
    3,543.72x = 5,315.61 × 1,351.86
  4. Step 4: Simplify right side
    3,543.72x = 7,185,960.53
  5. Step 5: Solve for x
    x = 7,185,960.53/3,543.72
  6. Step 6: Final answer
    x = 2,027.80

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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.