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Finding the Fourth Proportional to 2,371.92, 3,558.26 and 891.25

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Solution

The fourth proportional to 2,371.92, 3,558.26 and 891.25 is: 1,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.92 : 3,558.26 = 891.25 : x
  2. Step 2: Convert to fraction form
    2,371.92/3,558.26 = 891.25/x
  3. Step 3: Cross multiply
    2,371.92x = 3,558.26 × 891.25
  4. Step 4: Simplify right side
    2,371.92x = 3,171,307.56
  5. Step 5: Solve for x
    x = 3,171,307.56/2,371.92
  6. Step 6: Final answer
    x = 1,337.02

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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.