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Finding the Fourth Proportional to 7,767.86, 10,719.87 and 4,231.13

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Solution

The fourth proportional to 7,767.86, 10,719.87 and 4,231.13 is: 5,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.86 : 10,719.87 = 4,231.13 : x
  2. Step 2: Convert to fraction form
    7,767.86/10,719.87 = 4,231.13/x
  3. Step 3: Cross multiply
    7,767.86x = 10,719.87 × 4,231.13
  4. Step 4: Simplify right side
    7,767.86x = 45,357,163.55
  5. Step 5: Solve for x
    x = 45,357,163.55/7,767.86
  6. Step 6: Final answer
    x = 5,839.08

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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.