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Finding the Fourth Proportional to 2,412, 3,318.48 and 2,149.44

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Solution

The fourth proportional to 2,412, 3,318.48 and 2,149.44 is: 2,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412 : 3,318.48 = 2,149.44 : x
  2. Step 2: Convert to fraction form
    2,412/3,318.48 = 2,149.44/x
  3. Step 3: Cross multiply
    2,412x = 3,318.48 × 2,149.44
  4. Step 4: Simplify right side
    2,412x = 7,132,873.65
  5. Step 5: Solve for x
    x = 7,132,873.65/2,412
  6. Step 6: Final answer
    x = 2,957.24

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1.5x scale

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.