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Finding the Fourth Proportional to 3,917.88, 5,872.41 and 2,990.34

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Solution

The fourth proportional to 3,917.88, 5,872.41 and 2,990.34 is: 4,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.88 : 5,872.41 = 2,990.34 : x
  2. Step 2: Convert to fraction form
    3,917.88/5,872.41 = 2,990.34/x
  3. Step 3: Cross multiply
    3,917.88x = 5,872.41 × 2,990.34
  4. Step 4: Simplify right side
    3,917.88x = 17,560,502.52
  5. Step 5: Solve for x
    x = 17,560,502.52/3,917.88
  6. Step 6: Final answer
    x = 4,482.14

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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.