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Finding the Fourth Proportional to 7,012, 10,519.10 and 2,081.14

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Solution

The fourth proportional to 7,012, 10,519.10 and 2,081.14 is: 3,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012 : 10,519.10 = 2,081.14 : x
  2. Step 2: Convert to fraction form
    7,012/10,519.10 = 2,081.14/x
  3. Step 3: Cross multiply
    7,012x = 10,519.10 × 2,081.14
  4. Step 4: Simplify right side
    7,012x = 21,891,719.77
  5. Step 5: Solve for x
    x = 21,891,719.77/7,012
  6. Step 6: Final answer
    x = 3,122.04

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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.