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Finding the Fourth Proportional to 2,482.05, 3,714.19 and 2,149.65

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Solution

The fourth proportional to 2,482.05, 3,714.19 and 2,149.65 is: 3,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.05 : 3,714.19 = 2,149.65 : x
  2. Step 2: Convert to fraction form
    2,482.05/3,714.19 = 2,149.65/x
  3. Step 3: Cross multiply
    2,482.05x = 3,714.19 × 2,149.65
  4. Step 4: Simplify right side
    2,482.05x = 7,984,208.53
  5. Step 5: Solve for x
    x = 7,984,208.53/2,482.05
  6. Step 6: Final answer
    x = 3,216.78

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1.5x scale

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.