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Finding the Fourth Proportional to 3,082.86, 4,624.98 and 891.76

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Solution

The fourth proportional to 3,082.86, 4,624.98 and 891.76 is: 1,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.86 : 4,624.98 = 891.76 : x
  2. Step 2: Convert to fraction form
    3,082.86/4,624.98 = 891.76/x
  3. Step 3: Cross multiply
    3,082.86x = 4,624.98 × 891.76
  4. Step 4: Simplify right side
    3,082.86x = 4,124,352.59
  5. Step 5: Solve for x
    x = 4,124,352.59/3,082.86
  6. Step 6: Final answer
    x = 1,337.83

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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.