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Finding the Fourth Proportional to 2,667.80, 4,001.81 and 818.93

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Solution

The fourth proportional to 2,667.80, 4,001.81 and 818.93 is: 1,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.80 : 4,001.81 = 818.93 : x
  2. Step 2: Convert to fraction form
    2,667.80/4,001.81 = 818.93/x
  3. Step 3: Cross multiply
    2,667.80x = 4,001.81 × 818.93
  4. Step 4: Simplify right side
    2,667.80x = 3,277,202.26
  5. Step 5: Solve for x
    x = 3,277,202.26/2,667.80
  6. Step 6: Final answer
    x = 1,228.43

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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.