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Finding the Fourth Proportional to 19,414.88, 29,125.20 and 7,100

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Solution

The fourth proportional to 19,414.88, 29,125.20 and 7,100 is: 10,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.88 : 29,125.20 = 7,100 : x
  2. Step 2: Convert to fraction form
    19,414.88/29,125.20 = 7,100/x
  3. Step 3: Cross multiply
    19,414.88x = 29,125.20 × 7,100
  4. Step 4: Simplify right side
    19,414.88x = 206,788,920
  5. Step 5: Solve for x
    x = 206,788,920/19,414.88
  6. Step 6: Final answer
    x = 10,651.05

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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.