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Finding the Fourth Proportional to 3,082.96, 4,625.25 and 891.82

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Solution

The fourth proportional to 3,082.96, 4,625.25 and 891.82 is: 1,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.96 : 4,625.25 = 891.82 : x
  2. Step 2: Convert to fraction form
    3,082.96/4,625.25 = 891.82/x
  3. Step 3: Cross multiply
    3,082.96x = 4,625.25 × 891.82
  4. Step 4: Simplify right side
    3,082.96x = 4,124,890.46
  5. Step 5: Solve for x
    x = 4,124,890.46/3,082.96
  6. Step 6: Final answer
    x = 1,337.96

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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.