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Finding the Fourth Proportional to 7,768.02, 10,719.78 and 4,231.23

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Solution

The fourth proportional to 7,768.02, 10,719.78 and 4,231.23 is: 5,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.02 : 10,719.78 = 4,231.23 : x
  2. Step 2: Convert to fraction form
    7,768.02/10,719.78 = 4,231.23/x
  3. Step 3: Cross multiply
    7,768.02x = 10,719.78 × 4,231.23
  4. Step 4: Simplify right side
    7,768.02x = 45,357,854.73
  5. Step 5: Solve for x
    x = 45,357,854.73/7,768.02
  6. Step 6: Final answer
    x = 5,839.05

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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.