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Finding the Fourth Proportional to 7,071.99, 10,609.34 and 2,689.10

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Solution

The fourth proportional to 7,071.99, 10,609.34 and 2,689.10 is: 4,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.99 : 10,609.34 = 2,689.10 : x
  2. Step 2: Convert to fraction form
    7,071.99/10,609.34 = 2,689.10/x
  3. Step 3: Cross multiply
    7,071.99x = 10,609.34 × 2,689.10
  4. Step 4: Simplify right side
    7,071.99x = 28,529,569.66
  5. Step 5: Solve for x
    x = 28,529,569.66/7,071.99
  6. Step 6: Final answer
    x = 4,034.17

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1.5x scale

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.