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Finding the Fourth Proportional to 5,249.66, 7,855.05 and 3,864.02

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Solution

The fourth proportional to 5,249.66, 7,855.05 and 3,864.02 is: 5,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.66 : 7,855.05 = 3,864.02 : x
  2. Step 2: Convert to fraction form
    5,249.66/7,855.05 = 3,864.02/x
  3. Step 3: Cross multiply
    5,249.66x = 7,855.05 × 3,864.02
  4. Step 4: Simplify right side
    5,249.66x = 30,352,070.30
  5. Step 5: Solve for x
    x = 30,352,070.30/5,249.66
  6. Step 6: Final answer
    x = 5,781.72

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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.