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Finding the Fourth Proportional to 2,908.80, 4,346.40 and 2,448

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Solution

The fourth proportional to 2,908.80, 4,346.40 and 2,448 is: 3,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.80 : 4,346.40 = 2,448 : x
  2. Step 2: Convert to fraction form
    2,908.80/4,346.40 = 2,448/x
  3. Step 3: Cross multiply
    2,908.80x = 4,346.40 × 2,448
  4. Step 4: Simplify right side
    2,908.80x = 10,639,987.20
  5. Step 5: Solve for x
    x = 10,639,987.20/2,908.80
  6. Step 6: Final answer
    x = 3,657.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.