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Finding the Fourth Proportional to 19,367, 29,052.12 and 7,680.32

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Solution

The fourth proportional to 19,367, 29,052.12 and 7,680.32 is: 11,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,367 : 29,052.12 = 7,680.32 : x
  2. Step 2: Convert to fraction form
    19,367/29,052.12 = 7,680.32/x
  3. Step 3: Cross multiply
    19,367x = 29,052.12 × 7,680.32
  4. Step 4: Simplify right side
    19,367x = 223,129,578.28
  5. Step 5: Solve for x
    x = 223,129,578.28/19,367
  6. Step 6: Final answer
    x = 11,521.12

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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.