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Finding the Fourth Proportional to 3,877.61, 5,802.03 and 2,318.49

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Solution

The fourth proportional to 3,877.61, 5,802.03 and 2,318.49 is: 3,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.61 : 5,802.03 = 2,318.49 : x
  2. Step 2: Convert to fraction form
    3,877.61/5,802.03 = 2,318.49/x
  3. Step 3: Cross multiply
    3,877.61x = 5,802.03 × 2,318.49
  4. Step 4: Simplify right side
    3,877.61x = 13,451,948.53
  5. Step 5: Solve for x
    x = 13,451,948.53/3,877.61
  6. Step 6: Final answer
    x = 3,469.14

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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.