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Finding the Fourth Proportional to 5,811.84, 8,717.76 and 3,867.84

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Solution

The fourth proportional to 5,811.84, 8,717.76 and 3,867.84 is: 5,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.84 : 8,717.76 = 3,867.84 : x
  2. Step 2: Convert to fraction form
    5,811.84/8,717.76 = 3,867.84/x
  3. Step 3: Cross multiply
    5,811.84x = 8,717.76 × 3,867.84
  4. Step 4: Simplify right side
    5,811.84x = 33,718,900.84
  5. Step 5: Solve for x
    x = 33,718,900.84/5,811.84
  6. Step 6: Final answer
    x = 5,801.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.