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Finding the Fourth Proportional to 8,527.88, 12,790 and 2,683.12

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Solution

The fourth proportional to 8,527.88, 12,790 and 2,683.12 is: 4,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.88 : 12,790 = 2,683.12 : x
  2. Step 2: Convert to fraction form
    8,527.88/12,790 = 2,683.12/x
  3. Step 3: Cross multiply
    8,527.88x = 12,790 × 2,683.12
  4. Step 4: Simplify right side
    8,527.88x = 34,317,104.80
  5. Step 5: Solve for x
    x = 34,317,104.80/8,527.88
  6. Step 6: Final answer
    x = 4,024.11

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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.