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Finding the Fourth Proportional to 3,083.76, 4,624.92 and 891.99

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Solution

The fourth proportional to 3,083.76, 4,624.92 and 891.99 is: 1,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.76 : 4,624.92 = 891.99 : x
  2. Step 2: Convert to fraction form
    3,083.76/4,624.92 = 891.99/x
  3. Step 3: Cross multiply
    3,083.76x = 4,624.92 × 891.99
  4. Step 4: Simplify right side
    3,083.76x = 4,125,382.39
  5. Step 5: Solve for x
    x = 4,125,382.39/3,083.76
  6. Step 6: Final answer
    x = 1,337.78

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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.