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Finding the Fourth Proportional to 3,543.20, 5,314.80 and 2,916.80

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Solution

The fourth proportional to 3,543.20, 5,314.80 and 2,916.80 is: 4,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.20 : 5,314.80 = 2,916.80 : x
  2. Step 2: Convert to fraction form
    3,543.20/5,314.80 = 2,916.80/x
  3. Step 3: Cross multiply
    3,543.20x = 5,314.80 × 2,916.80
  4. Step 4: Simplify right side
    3,543.20x = 15,502,208.64
  5. Step 5: Solve for x
    x = 15,502,208.64/3,543.20
  6. Step 6: Final answer
    x = 4,375.20

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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.