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Finding the Fourth Proportional to 19,382, 29,083.50 and 15,008

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Solution

The fourth proportional to 19,382, 29,083.50 and 15,008 is: 22,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382 : 29,083.50 = 15,008 : x
  2. Step 2: Convert to fraction form
    19,382/29,083.50 = 15,008/x
  3. Step 3: Cross multiply
    19,382x = 29,083.50 × 15,008
  4. Step 4: Simplify right side
    19,382x = 436,485,168
  5. Step 5: Solve for x
    x = 436,485,168/19,382
  6. Step 6: Final answer
    x = 22,520.13

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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.