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Finding the Fourth Proportional to 7,776.42, 10,731.41 and 4,239.78

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Solution

The fourth proportional to 7,776.42, 10,731.41 and 4,239.78 is: 5,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.42 : 10,731.41 = 4,239.78 : x
  2. Step 2: Convert to fraction form
    7,776.42/10,731.41 = 4,239.78/x
  3. Step 3: Cross multiply
    7,776.42x = 10,731.41 × 4,239.78
  4. Step 4: Simplify right side
    7,776.42x = 45,498,796.29
  5. Step 5: Solve for x
    x = 45,498,796.29/7,776.42
  6. Step 6: Final answer
    x = 5,850.87

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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.