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Finding the Fourth Proportional to 7,169.58, 9,894.06 and 3,982.88

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Solution

The fourth proportional to 7,169.58, 9,894.06 and 3,982.88 is: 5,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.58 : 9,894.06 = 3,982.88 : x
  2. Step 2: Convert to fraction form
    7,169.58/9,894.06 = 3,982.88/x
  3. Step 3: Cross multiply
    7,169.58x = 9,894.06 × 3,982.88
  4. Step 4: Simplify right side
    7,169.58x = 39,406,878.43
  5. Step 5: Solve for x
    x = 39,406,878.43/7,169.58
  6. Step 6: Final answer
    x = 5,496.40

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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.