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Finding the Fourth Proportional to 19,759.88, 29,639.84 and 7,919

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Solution

The fourth proportional to 19,759.88, 29,639.84 and 7,919 is: 11,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.88 : 29,639.84 = 7,919 : x
  2. Step 2: Convert to fraction form
    19,759.88/29,639.84 = 7,919/x
  3. Step 3: Cross multiply
    19,759.88x = 29,639.84 × 7,919
  4. Step 4: Simplify right side
    19,759.88x = 234,717,892.96
  5. Step 5: Solve for x
    x = 234,717,892.96/19,759.88
  6. Step 6: Final answer
    x = 11,878.51

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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.