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Finding the Fourth Proportional to 13,238.16, 19,865.44 and 7,694.11

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Solution

The fourth proportional to 13,238.16, 19,865.44 and 7,694.11 is: 11,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.16 : 19,865.44 = 7,694.11 : x
  2. Step 2: Convert to fraction form
    13,238.16/19,865.44 = 7,694.11/x
  3. Step 3: Cross multiply
    13,238.16x = 19,865.44 × 7,694.11
  4. Step 4: Simplify right side
    13,238.16x = 152,846,915.01
  5. Step 5: Solve for x
    x = 152,846,915.01/13,238.16
  6. Step 6: Final answer
    x = 11,545.94

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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.