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Finding the Fourth Proportional to 7,768.88, 10,720.68 and 4,231.88

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Solution

The fourth proportional to 7,768.88, 10,720.68 and 4,231.88 is: 5,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.88 : 10,720.68 = 4,231.88 : x
  2. Step 2: Convert to fraction form
    7,768.88/10,720.68 = 4,231.88/x
  3. Step 3: Cross multiply
    7,768.88x = 10,720.68 × 4,231.88
  4. Step 4: Simplify right side
    7,768.88x = 45,368,631.28
  5. Step 5: Solve for x
    x = 45,368,631.28/7,768.88
  6. Step 6: Final answer
    x = 5,839.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.