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Finding the Fourth Proportional to 8,012.64, 12,019.14 and 2,747.60

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Solution

The fourth proportional to 8,012.64, 12,019.14 and 2,747.60 is: 4,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.64 : 12,019.14 = 2,747.60 : x
  2. Step 2: Convert to fraction form
    8,012.64/12,019.14 = 2,747.60/x
  3. Step 3: Cross multiply
    8,012.64x = 12,019.14 × 2,747.60
  4. Step 4: Simplify right side
    8,012.64x = 33,023,728.97
  5. Step 5: Solve for x
    x = 33,023,728.97/8,012.64
  6. Step 6: Final answer
    x = 4,121.45

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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.