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Finding the Fourth Proportional to 7,071.80, 9,759.66 and 3,929

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Solution

The fourth proportional to 7,071.80, 9,759.66 and 3,929 is: 5,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.80 : 9,759.66 = 3,929 : x
  2. Step 2: Convert to fraction form
    7,071.80/9,759.66 = 3,929/x
  3. Step 3: Cross multiply
    7,071.80x = 9,759.66 × 3,929
  4. Step 4: Simplify right side
    7,071.80x = 38,345,704.14
  5. Step 5: Solve for x
    x = 38,345,704.14/7,071.80
  6. Step 6: Final answer
    x = 5,422.34

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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.