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Finding the Fourth Proportional to 10,489.79, 15,719.97 and 5,219.79

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Solution

The fourth proportional to 10,489.79, 15,719.97 and 5,219.79 is: 7,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.79 : 15,719.97 = 5,219.79 : x
  2. Step 2: Convert to fraction form
    10,489.79/15,719.97 = 5,219.79/x
  3. Step 3: Cross multiply
    10,489.79x = 15,719.97 × 5,219.79
  4. Step 4: Simplify right side
    10,489.79x = 82,054,942.21
  5. Step 5: Solve for x
    x = 82,054,942.21/10,489.79
  6. Step 6: Final answer
    x = 7,822.37

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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.