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Finding the Fourth Proportional to 7,768.08, 10,719.84 and 4,231.32

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Solution

The fourth proportional to 7,768.08, 10,719.84 and 4,231.32 is: 5,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.08 : 10,719.84 = 4,231.32 : x
  2. Step 2: Convert to fraction form
    7,768.08/10,719.84 = 4,231.32/x
  3. Step 3: Cross multiply
    7,768.08x = 10,719.84 × 4,231.32
  4. Step 4: Simplify right side
    7,768.08x = 45,359,073.39
  5. Step 5: Solve for x
    x = 45,359,073.39/7,768.08
  6. Step 6: Final answer
    x = 5,839.16

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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.