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Finding the Fourth Proportional to 2,947.82, 4,065.90 and 2,502.65

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Solution

The fourth proportional to 2,947.82, 4,065.90 and 2,502.65 is: 3,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.82 : 4,065.90 = 2,502.65 : x
  2. Step 2: Convert to fraction form
    2,947.82/4,065.90 = 2,502.65/x
  3. Step 3: Cross multiply
    2,947.82x = 4,065.90 × 2,502.65
  4. Step 4: Simplify right side
    2,947.82x = 10,175,524.64
  5. Step 5: Solve for x
    x = 10,175,524.64/2,947.82
  6. Step 6: Final answer
    x = 3,451.89

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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.