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Finding the Fourth Proportional to 8,249.36, 12,374.04 and 3,866

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Solution

The fourth proportional to 8,249.36, 12,374.04 and 3,866 is: 5,799

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.36 : 12,374.04 = 3,866 : x
  2. Step 2: Convert to fraction form
    8,249.36/12,374.04 = 3,866/x
  3. Step 3: Cross multiply
    8,249.36x = 12,374.04 × 3,866
  4. Step 4: Simplify right side
    8,249.36x = 47,838,038.64
  5. Step 5: Solve for x
    x = 47,838,038.64/8,249.36
  6. Step 6: Final answer
    x = 5,799

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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.