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Finding the Fourth Proportional to 5,241.08, 7,860 and 1,542.38

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Solution

The fourth proportional to 5,241.08, 7,860 and 1,542.38 is: 2,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.08 : 7,860 = 1,542.38 : x
  2. Step 2: Convert to fraction form
    5,241.08/7,860 = 1,542.38/x
  3. Step 3: Cross multiply
    5,241.08x = 7,860 × 1,542.38
  4. Step 4: Simplify right side
    5,241.08x = 12,123,106.80
  5. Step 5: Solve for x
    x = 12,123,106.80/5,241.08
  6. Step 6: Final answer
    x = 2,313.09

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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.