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Finding the Fourth Proportional to 8,489.12, 12,728.94 and 6,745.28

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Solution

The fourth proportional to 8,489.12, 12,728.94 and 6,745.28 is: 10,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.12 : 12,728.94 = 6,745.28 : x
  2. Step 2: Convert to fraction form
    8,489.12/12,728.94 = 6,745.28/x
  3. Step 3: Cross multiply
    8,489.12x = 12,728.94 × 6,745.28
  4. Step 4: Simplify right side
    8,489.12x = 85,860,264.40
  5. Step 5: Solve for x
    x = 85,860,264.40/8,489.12
  6. Step 6: Final answer
    x = 10,114.15

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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.