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Finding the Fourth Proportional to 6,857.39, 10,278.06 and 6,078.88

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Solution

The fourth proportional to 6,857.39, 10,278.06 and 6,078.88 is: 9,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.39 : 10,278.06 = 6,078.88 : x
  2. Step 2: Convert to fraction form
    6,857.39/10,278.06 = 6,078.88/x
  3. Step 3: Cross multiply
    6,857.39x = 10,278.06 × 6,078.88
  4. Step 4: Simplify right side
    6,857.39x = 62,479,083.42
  5. Step 5: Solve for x
    x = 62,479,083.42/6,857.39
  6. Step 6: Final answer
    x = 9,111.20

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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.