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Finding the Fourth Proportional to 2,667.50, 4,001.26 and 719.71

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Solution

The fourth proportional to 2,667.50, 4,001.26 and 719.71 is: 1,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.50 : 4,001.26 = 719.71 : x
  2. Step 2: Convert to fraction form
    2,667.50/4,001.26 = 719.71/x
  3. Step 3: Cross multiply
    2,667.50x = 4,001.26 × 719.71
  4. Step 4: Simplify right side
    2,667.50x = 2,879,735.03
  5. Step 5: Solve for x
    x = 2,879,735.03/2,667.50
  6. Step 6: Final answer
    x = 1,079.56

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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.