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Finding the Fourth Proportional to 8,517.84, 12,743.94 and 5,731.23

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Solution

The fourth proportional to 8,517.84, 12,743.94 and 5,731.23 is: 8,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.84 : 12,743.94 = 5,731.23 : x
  2. Step 2: Convert to fraction form
    8,517.84/12,743.94 = 5,731.23/x
  3. Step 3: Cross multiply
    8,517.84x = 12,743.94 × 5,731.23
  4. Step 4: Simplify right side
    8,517.84x = 73,038,451.25
  5. Step 5: Solve for x
    x = 73,038,451.25/8,517.84
  6. Step 6: Final answer
    x = 8,574.76

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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.