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Finding the Fourth Proportional to 2,490.42, 3,742.01 and 1,879.88

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Solution

The fourth proportional to 2,490.42, 3,742.01 and 1,879.88 is: 2,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.42 : 3,742.01 = 1,879.88 : x
  2. Step 2: Convert to fraction form
    2,490.42/3,742.01 = 1,879.88/x
  3. Step 3: Cross multiply
    2,490.42x = 3,742.01 × 1,879.88
  4. Step 4: Simplify right side
    2,490.42x = 7,034,501.65
  5. Step 5: Solve for x
    x = 7,034,501.65/2,490.42
  6. Step 6: Final answer
    x = 2,824.62

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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.