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Finding the Fourth Proportional to 2,667.40, 4,001.10 and 2,641.80

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Solution

The fourth proportional to 2,667.40, 4,001.10 and 2,641.80 is: 3,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.40 : 4,001.10 = 2,641.80 : x
  2. Step 2: Convert to fraction form
    2,667.40/4,001.10 = 2,641.80/x
  3. Step 3: Cross multiply
    2,667.40x = 4,001.10 × 2,641.80
  4. Step 4: Simplify right side
    2,667.40x = 10,570,105.98
  5. Step 5: Solve for x
    x = 10,570,105.98/2,667.40
  6. Step 6: Final answer
    x = 3,962.70

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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.