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Finding the Fourth Proportional to 6,394.29, 9,578.67 and 5,080.28

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Solution

The fourth proportional to 6,394.29, 9,578.67 and 5,080.28 is: 7,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.29 : 9,578.67 = 5,080.28 : x
  2. Step 2: Convert to fraction form
    6,394.29/9,578.67 = 5,080.28/x
  3. Step 3: Cross multiply
    6,394.29x = 9,578.67 × 5,080.28
  4. Step 4: Simplify right side
    6,394.29x = 48,662,277.73
  5. Step 5: Solve for x
    x = 48,662,277.73/6,394.29
  6. Step 6: Final answer
    x = 7,610.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.