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Finding the Fourth Proportional to 8,512.85, 12,762.10 and 4,068

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Solution

The fourth proportional to 8,512.85, 12,762.10 and 4,068 is: 6,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.85 : 12,762.10 = 4,068 : x
  2. Step 2: Convert to fraction form
    8,512.85/12,762.10 = 4,068/x
  3. Step 3: Cross multiply
    8,512.85x = 12,762.10 × 4,068
  4. Step 4: Simplify right side
    8,512.85x = 51,916,202.46
  5. Step 5: Solve for x
    x = 51,916,202.46/8,512.85
  6. Step 6: Final answer
    x = 6,098.57

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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.