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Finding the Fourth Proportional to 13,063.92, 19,584.93 and 5,278.20

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Solution

The fourth proportional to 13,063.92, 19,584.93 and 5,278.20 is: 7,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,063.92 : 19,584.93 = 5,278.20 : x
  2. Step 2: Convert to fraction form
    13,063.92/19,584.93 = 5,278.20/x
  3. Step 3: Cross multiply
    13,063.92x = 19,584.93 × 5,278.20
  4. Step 4: Simplify right side
    13,063.92x = 103,373,177.53
  5. Step 5: Solve for x
    x = 103,373,177.53/13,063.92
  6. Step 6: Final answer
    x = 7,912.88

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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.