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Finding the Fourth Proportional to 5,382.78, 7,419.78 and 4,930.80

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Solution

The fourth proportional to 5,382.78, 7,419.78 and 4,930.80 is: 6,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.78 : 7,419.78 = 4,930.80 : x
  2. Step 2: Convert to fraction form
    5,382.78/7,419.78 = 4,930.80/x
  3. Step 3: Cross multiply
    5,382.78x = 7,419.78 × 4,930.80
  4. Step 4: Simplify right side
    5,382.78x = 36,585,451.22
  5. Step 5: Solve for x
    x = 36,585,451.22/5,382.78
  6. Step 6: Final answer
    x = 6,796.76

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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.