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Finding the Fourth Proportional to 19,380, 29,080.50 and 15,006

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Solution

The fourth proportional to 19,380, 29,080.50 and 15,006 is: 22,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,380 : 29,080.50 = 15,006 : x
  2. Step 2: Convert to fraction form
    19,380/29,080.50 = 15,006/x
  3. Step 3: Cross multiply
    19,380x = 29,080.50 × 15,006
  4. Step 4: Simplify right side
    19,380x = 436,381,983
  5. Step 5: Solve for x
    x = 436,381,983/19,380
  6. Step 6: Final answer
    x = 22,517.13

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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.