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Finding the Fourth Proportional to 11,414, 15,751.68 and 6,378.44

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Solution

The fourth proportional to 11,414, 15,751.68 and 6,378.44 is: 8,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414 : 15,751.68 = 6,378.44 : x
  2. Step 2: Convert to fraction form
    11,414/15,751.68 = 6,378.44/x
  3. Step 3: Cross multiply
    11,414x = 15,751.68 × 6,378.44
  4. Step 4: Simplify right side
    11,414x = 100,471,145.78
  5. Step 5: Solve for x
    x = 100,471,145.78/11,414
  6. Step 6: Final answer
    x = 8,802.45

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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.