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Finding the Fourth Proportional to 5,247.78, 7,854.66 and 3,860.82

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Solution

The fourth proportional to 5,247.78, 7,854.66 and 3,860.82 is: 5,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.78 : 7,854.66 = 3,860.82 : x
  2. Step 2: Convert to fraction form
    5,247.78/7,854.66 = 3,860.82/x
  3. Step 3: Cross multiply
    5,247.78x = 7,854.66 × 3,860.82
  4. Step 4: Simplify right side
    5,247.78x = 30,325,428.42
  5. Step 5: Solve for x
    x = 30,325,428.42/5,247.78
  6. Step 6: Final answer
    x = 5,778.72

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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.