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Finding the Fourth Proportional to 2,436, 3,368.08 and 2,327.20

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Solution

The fourth proportional to 2,436, 3,368.08 and 2,327.20 is: 3,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,368.08 = 2,327.20 : x
  2. Step 2: Convert to fraction form
    2,436/3,368.08 = 2,327.20/x
  3. Step 3: Cross multiply
    2,436x = 3,368.08 × 2,327.20
  4. Step 4: Simplify right side
    2,436x = 7,838,195.78
  5. Step 5: Solve for x
    x = 7,838,195.78/2,436
  6. Step 6: Final answer
    x = 3,217.65

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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.