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Finding the Fourth Proportional to 5,869, 8,806.40 and 2,581.68

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Solution

The fourth proportional to 5,869, 8,806.40 and 2,581.68 is: 3,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869 : 8,806.40 = 2,581.68 : x
  2. Step 2: Convert to fraction form
    5,869/8,806.40 = 2,581.68/x
  3. Step 3: Cross multiply
    5,869x = 8,806.40 × 2,581.68
  4. Step 4: Simplify right side
    5,869x = 22,735,306.75
  5. Step 5: Solve for x
    x = 22,735,306.75/5,869
  6. Step 6: Final answer
    x = 3,873.80

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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.