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Finding the Fourth Proportional to 3,867.66, 5,337.48 and 2,376.42

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Solution

The fourth proportional to 3,867.66, 5,337.48 and 2,376.42 is: 3,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.66 : 5,337.48 = 2,376.42 : x
  2. Step 2: Convert to fraction form
    3,867.66/5,337.48 = 2,376.42/x
  3. Step 3: Cross multiply
    3,867.66x = 5,337.48 × 2,376.42
  4. Step 4: Simplify right side
    3,867.66x = 12,684,094.22
  5. Step 5: Solve for x
    x = 12,684,094.22/3,867.66
  6. Step 6: Final answer
    x = 3,279.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.