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Finding the Fourth Proportional to 5,241, 7,860.94 and 1,543.24

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Solution

The fourth proportional to 5,241, 7,860.94 and 1,543.24 is: 2,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241 : 7,860.94 = 1,543.24 : x
  2. Step 2: Convert to fraction form
    5,241/7,860.94 = 1,543.24/x
  3. Step 3: Cross multiply
    5,241x = 7,860.94 × 1,543.24
  4. Step 4: Simplify right side
    5,241x = 12,131,317.05
  5. Step 5: Solve for x
    x = 12,131,317.05/5,241
  6. Step 6: Final answer
    x = 2,314.70

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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.