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Finding the Fourth Proportional to 2,346.39, 3,519.78 and 615

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Solution

The fourth proportional to 2,346.39, 3,519.78 and 615 is: 922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.39 : 3,519.78 = 615 : x
  2. Step 2: Convert to fraction form
    2,346.39/3,519.78 = 615/x
  3. Step 3: Cross multiply
    2,346.39x = 3,519.78 × 615
  4. Step 4: Simplify right side
    2,346.39x = 2,164,664.70
  5. Step 5: Solve for x
    x = 2,164,664.70/2,346.39
  6. Step 6: Final answer
    x = 922.55

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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.