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Finding the Fourth Proportional to 6,983.81, 9,634.91 and 3,998.04

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Solution

The fourth proportional to 6,983.81, 9,634.91 and 3,998.04 is: 5,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.81 : 9,634.91 = 3,998.04 : x
  2. Step 2: Convert to fraction form
    6,983.81/9,634.91 = 3,998.04/x
  3. Step 3: Cross multiply
    6,983.81x = 9,634.91 × 3,998.04
  4. Step 4: Simplify right side
    6,983.81x = 38,520,707.40
  5. Step 5: Solve for x
    x = 38,520,707.40/6,983.81
  6. Step 6: Final answer
    x = 5,515.72

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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.