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Finding the Fourth Proportional to 5,241.18, 7,861.90 and 1,543.54

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Solution

The fourth proportional to 5,241.18, 7,861.90 and 1,543.54 is: 2,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.18 : 7,861.90 = 1,543.54 : x
  2. Step 2: Convert to fraction form
    5,241.18/7,861.90 = 1,543.54/x
  3. Step 3: Cross multiply
    5,241.18x = 7,861.90 × 1,543.54
  4. Step 4: Simplify right side
    5,241.18x = 12,135,157.13
  5. Step 5: Solve for x
    x = 12,135,157.13/5,241.18
  6. Step 6: Final answer
    x = 2,315.35

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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.