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Finding the Fourth Proportional to 9,954.78, 13,736.95 and 5,705.79

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Solution

The fourth proportional to 9,954.78, 13,736.95 and 5,705.79 is: 7,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.78 : 13,736.95 = 5,705.79 : x
  2. Step 2: Convert to fraction form
    9,954.78/13,736.95 = 5,705.79/x
  3. Step 3: Cross multiply
    9,954.78x = 13,736.95 × 5,705.79
  4. Step 4: Simplify right side
    9,954.78x = 78,380,151.94
  5. Step 5: Solve for x
    x = 78,380,151.94/9,954.78
  6. Step 6: Final answer
    x = 7,873.62

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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.