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Finding the Fourth Proportional to 11,142.11, 15,366.99 and 7,949.76

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Solution

The fourth proportional to 11,142.11, 15,366.99 and 7,949.76 is: 10,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.11 : 15,366.99 = 7,949.76 : x
  2. Step 2: Convert to fraction form
    11,142.11/15,366.99 = 7,949.76/x
  3. Step 3: Cross multiply
    11,142.11x = 15,366.99 × 7,949.76
  4. Step 4: Simplify right side
    11,142.11x = 122,163,882.42
  5. Step 5: Solve for x
    x = 122,163,882.42/11,142.11
  6. Step 6: Final answer
    x = 10,964.17

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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.