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Finding the Fourth Proportional to 7,071.65, 9,759.04 and 3,884.99

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Solution

The fourth proportional to 7,071.65, 9,759.04 and 3,884.99 is: 5,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.65 : 9,759.04 = 3,884.99 : x
  2. Step 2: Convert to fraction form
    7,071.65/9,759.04 = 3,884.99/x
  3. Step 3: Cross multiply
    7,071.65x = 9,759.04 × 3,884.99
  4. Step 4: Simplify right side
    7,071.65x = 37,913,769.20
  5. Step 5: Solve for x
    x = 37,913,769.20/7,071.65
  6. Step 6: Final answer
    x = 5,361.37

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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.