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Finding the Fourth Proportional to 7,071.81, 10,607.81 and 2,855.15

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Solution

The fourth proportional to 7,071.81, 10,607.81 and 2,855.15 is: 4,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.81 : 10,607.81 = 2,855.15 : x
  2. Step 2: Convert to fraction form
    7,071.81/10,607.81 = 2,855.15/x
  3. Step 3: Cross multiply
    7,071.81x = 10,607.81 × 2,855.15
  4. Step 4: Simplify right side
    7,071.81x = 30,286,821.41
  5. Step 5: Solve for x
    x = 30,286,821.41/7,071.81
  6. Step 6: Final answer
    x = 4,282.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.