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Finding the Fourth Proportional to 3,429, 4,727.16 and 2,436.55

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Solution

The fourth proportional to 3,429, 4,727.16 and 2,436.55 is: 3,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 4,727.16 = 2,436.55 : x
  2. Step 2: Convert to fraction form
    3,429/4,727.16 = 2,436.55/x
  3. Step 3: Cross multiply
    3,429x = 4,727.16 × 2,436.55
  4. Step 4: Simplify right side
    3,429x = 11,517,949.88
  5. Step 5: Solve for x
    x = 11,517,949.88/3,429
  6. Step 6: Final answer
    x = 3,358.98

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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.