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Finding the Fourth Proportional to 7,107.97, 9,808.95 and 3,964.18

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Solution

The fourth proportional to 7,107.97, 9,808.95 and 3,964.18 is: 5,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.97 : 9,808.95 = 3,964.18 : x
  2. Step 2: Convert to fraction form
    7,107.97/9,808.95 = 3,964.18/x
  3. Step 3: Cross multiply
    7,107.97x = 9,808.95 × 3,964.18
  4. Step 4: Simplify right side
    7,107.97x = 38,884,443.41
  5. Step 5: Solve for x
    x = 38,884,443.41/7,107.97
  6. Step 6: Final answer
    x = 5,470.54

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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.