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Finding the Fourth Proportional to 2,371.97, 3,558.42 and 911.01

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Solution

The fourth proportional to 2,371.97, 3,558.42 and 911.01 is: 1,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.97 : 3,558.42 = 911.01 : x
  2. Step 2: Convert to fraction form
    2,371.97/3,558.42 = 911.01/x
  3. Step 3: Cross multiply
    2,371.97x = 3,558.42 × 911.01
  4. Step 4: Simplify right side
    2,371.97x = 3,241,756.20
  5. Step 5: Solve for x
    x = 3,241,756.20/2,371.97
  6. Step 6: Final answer
    x = 1,366.70

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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.