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Finding the Fourth Proportional to 5,640.26, 8,459.78 and 1,480.69

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Solution

The fourth proportional to 5,640.26, 8,459.78 and 1,480.69 is: 2,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.26 : 8,459.78 = 1,480.69 : x
  2. Step 2: Convert to fraction form
    5,640.26/8,459.78 = 1,480.69/x
  3. Step 3: Cross multiply
    5,640.26x = 8,459.78 × 1,480.69
  4. Step 4: Simplify right side
    5,640.26x = 12,526,294.20
  5. Step 5: Solve for x
    x = 12,526,294.20/5,640.26
  6. Step 6: Final answer
    x = 2,220.87

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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.