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Finding the Fourth Proportional to 2,978.32, 4,115.03 and 2,353.65

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Solution

The fourth proportional to 2,978.32, 4,115.03 and 2,353.65 is: 3,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.32 : 4,115.03 = 2,353.65 : x
  2. Step 2: Convert to fraction form
    2,978.32/4,115.03 = 2,353.65/x
  3. Step 3: Cross multiply
    2,978.32x = 4,115.03 × 2,353.65
  4. Step 4: Simplify right side
    2,978.32x = 9,685,340.36
  5. Step 5: Solve for x
    x = 9,685,340.36/2,978.32
  6. Step 6: Final answer
    x = 3,251.95

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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.