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Finding the Fourth Proportional to 2,979.68, 4,472.42 and 2,147.60

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Solution

The fourth proportional to 2,979.68, 4,472.42 and 2,147.60 is: 3,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.68 : 4,472.42 = 2,147.60 : x
  2. Step 2: Convert to fraction form
    2,979.68/4,472.42 = 2,147.60/x
  3. Step 3: Cross multiply
    2,979.68x = 4,472.42 × 2,147.60
  4. Step 4: Simplify right side
    2,979.68x = 9,604,969.64
  5. Step 5: Solve for x
    x = 9,604,969.64/2,979.68
  6. Step 6: Final answer
    x = 3,223.50

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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.