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Finding the Fourth Proportional to 7,078.40, 9,767.92 and 3,934.79

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Solution

The fourth proportional to 7,078.40, 9,767.92 and 3,934.79 is: 5,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.40 : 9,767.92 = 3,934.79 : x
  2. Step 2: Convert to fraction form
    7,078.40/9,767.92 = 3,934.79/x
  3. Step 3: Cross multiply
    7,078.40x = 9,767.92 × 3,934.79
  4. Step 4: Simplify right side
    7,078.40x = 38,434,713.94
  5. Step 5: Solve for x
    x = 38,434,713.94/7,078.40
  6. Step 6: Final answer
    x = 5,429.86

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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.