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Finding the Fourth Proportional to 5,811.22, 8,716.76 and 1,428.72

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Solution

The fourth proportional to 5,811.22, 8,716.76 and 1,428.72 is: 2,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.22 : 8,716.76 = 1,428.72 : x
  2. Step 2: Convert to fraction form
    5,811.22/8,716.76 = 1,428.72/x
  3. Step 3: Cross multiply
    5,811.22x = 8,716.76 × 1,428.72
  4. Step 4: Simplify right side
    5,811.22x = 12,453,799.39
  5. Step 5: Solve for x
    x = 12,453,799.39/5,811.22
  6. Step 6: Final answer
    x = 2,143.06

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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.