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Finding the Fourth Proportional to 7,169.84, 9,894.16 and 3,982.92

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Solution

The fourth proportional to 7,169.84, 9,894.16 and 3,982.92 is: 5,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.84 : 9,894.16 = 3,982.92 : x
  2. Step 2: Convert to fraction form
    7,169.84/9,894.16 = 3,982.92/x
  3. Step 3: Cross multiply
    7,169.84x = 9,894.16 × 3,982.92
  4. Step 4: Simplify right side
    7,169.84x = 39,407,647.75
  5. Step 5: Solve for x
    x = 39,407,647.75/7,169.84
  6. Step 6: Final answer
    x = 5,496.31

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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.