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Finding the Fourth Proportional to 2,667.56, 4,001.43 and 719.81

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Solution

The fourth proportional to 2,667.56, 4,001.43 and 719.81 is: 1,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.56 : 4,001.43 = 719.81 : x
  2. Step 2: Convert to fraction form
    2,667.56/4,001.43 = 719.81/x
  3. Step 3: Cross multiply
    2,667.56x = 4,001.43 × 719.81
  4. Step 4: Simplify right side
    2,667.56x = 2,880,269.33
  5. Step 5: Solve for x
    x = 2,880,269.33/2,667.56
  6. Step 6: Final answer
    x = 1,079.74

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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.