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Finding the Fourth Proportional to 8,612.64, 12,921.12 and 2,769.12

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Solution

The fourth proportional to 8,612.64, 12,921.12 and 2,769.12 is: 4,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.64 : 12,921.12 = 2,769.12 : x
  2. Step 2: Convert to fraction form
    8,612.64/12,921.12 = 2,769.12/x
  3. Step 3: Cross multiply
    8,612.64x = 12,921.12 × 2,769.12
  4. Step 4: Simplify right side
    8,612.64x = 35,780,131.81
  5. Step 5: Solve for x
    x = 35,780,131.81/8,612.64
  6. Step 6: Final answer
    x = 4,154.37

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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.