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Finding the Fourth Proportional to 3,073.95, 4,601.61 and 1,979.10

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Solution

The fourth proportional to 3,073.95, 4,601.61 and 1,979.10 is: 2,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.95 : 4,601.61 = 1,979.10 : x
  2. Step 2: Convert to fraction form
    3,073.95/4,601.61 = 1,979.10/x
  3. Step 3: Cross multiply
    3,073.95x = 4,601.61 × 1,979.10
  4. Step 4: Simplify right side
    3,073.95x = 9,107,046.35
  5. Step 5: Solve for x
    x = 9,107,046.35/3,073.95
  6. Step 6: Final answer
    x = 2,962.65

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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.