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Finding the Fourth Proportional to 7,806.51, 11,709.90 and 1,963.17

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Solution

The fourth proportional to 7,806.51, 11,709.90 and 1,963.17 is: 2,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.51 : 11,709.90 = 1,963.17 : x
  2. Step 2: Convert to fraction form
    7,806.51/11,709.90 = 1,963.17/x
  3. Step 3: Cross multiply
    7,806.51x = 11,709.90 × 1,963.17
  4. Step 4: Simplify right side
    7,806.51x = 22,988,524.38
  5. Step 5: Solve for x
    x = 22,988,524.38/7,806.51
  6. Step 6: Final answer
    x = 2,944.79

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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.