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Finding the Fourth Proportional to 8,518.10, 12,760.13 and 6,766.07

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Solution

The fourth proportional to 8,518.10, 12,760.13 and 6,766.07 is: 10,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.10 : 12,760.13 = 6,766.07 : x
  2. Step 2: Convert to fraction form
    8,518.10/12,760.13 = 6,766.07/x
  3. Step 3: Cross multiply
    8,518.10x = 12,760.13 × 6,766.07
  4. Step 4: Simplify right side
    8,518.10x = 86,335,885.90
  5. Step 5: Solve for x
    x = 86,335,885.90/8,518.10
  6. Step 6: Final answer
    x = 10,135.59

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1.5x scale

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.