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Finding the Fourth Proportional to 7,769.68, 11,639.16 and 6,212.24

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Solution

The fourth proportional to 7,769.68, 11,639.16 and 6,212.24 is: 9,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.68 : 11,639.16 = 6,212.24 : x
  2. Step 2: Convert to fraction form
    7,769.68/11,639.16 = 6,212.24/x
  3. Step 3: Cross multiply
    7,769.68x = 11,639.16 × 6,212.24
  4. Step 4: Simplify right side
    7,769.68x = 72,305,255.32
  5. Step 5: Solve for x
    x = 72,305,255.32/7,769.68
  6. Step 6: Final answer
    x = 9,306.08

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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.