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Finding the Fourth Proportional to 3,866.49, 5,335.95 and 2,449.65

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Solution

The fourth proportional to 3,866.49, 5,335.95 and 2,449.65 is: 3,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.49 : 5,335.95 = 2,449.65 : x
  2. Step 2: Convert to fraction form
    3,866.49/5,335.95 = 2,449.65/x
  3. Step 3: Cross multiply
    3,866.49x = 5,335.95 × 2,449.65
  4. Step 4: Simplify right side
    3,866.49x = 13,071,209.92
  5. Step 5: Solve for x
    x = 13,071,209.92/3,866.49
  6. Step 6: Final answer
    x = 3,380.64

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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.