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Finding the Fourth Proportional to 6,996.80, 9,653.14 and 3,971.57

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Solution

The fourth proportional to 6,996.80, 9,653.14 and 3,971.57 is: 5,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.80 : 9,653.14 = 3,971.57 : x
  2. Step 2: Convert to fraction form
    6,996.80/9,653.14 = 3,971.57/x
  3. Step 3: Cross multiply
    6,996.80x = 9,653.14 × 3,971.57
  4. Step 4: Simplify right side
    6,996.80x = 38,338,063.04
  5. Step 5: Solve for x
    x = 38,338,063.04/6,996.80
  6. Step 6: Final answer
    x = 5,479.37

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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.