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Finding the Fourth Proportional to 8,223.75, 12,337.20 and 3,543.75

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Solution

The fourth proportional to 8,223.75, 12,337.20 and 3,543.75 is: 5,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.75 : 12,337.20 = 3,543.75 : x
  2. Step 2: Convert to fraction form
    8,223.75/12,337.20 = 3,543.75/x
  3. Step 3: Cross multiply
    8,223.75x = 12,337.20 × 3,543.75
  4. Step 4: Simplify right side
    8,223.75x = 43,719,952.50
  5. Step 5: Solve for x
    x = 43,719,952.50/8,223.75
  6. Step 6: Final answer
    x = 5,316.30

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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.