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Finding the Fourth Proportional to 2,667.54, 4,001.16 and 818.65

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Solution

The fourth proportional to 2,667.54, 4,001.16 and 818.65 is: 1,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.54 : 4,001.16 = 818.65 : x
  2. Step 2: Convert to fraction form
    2,667.54/4,001.16 = 818.65/x
  3. Step 3: Cross multiply
    2,667.54x = 4,001.16 × 818.65
  4. Step 4: Simplify right side
    2,667.54x = 3,275,554.64
  5. Step 5: Solve for x
    x = 3,275,554.64/2,667.54
  6. Step 6: Final answer
    x = 1,227.93

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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.