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Finding the Fourth Proportional to 19,758, 29,637 and 8,071.22

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Solution

The fourth proportional to 19,758, 29,637 and 8,071.22 is: 12,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758 : 29,637 = 8,071.22 : x
  2. Step 2: Convert to fraction form
    19,758/29,637 = 8,071.22/x
  3. Step 3: Cross multiply
    19,758x = 29,637 × 8,071.22
  4. Step 4: Simplify right side
    19,758x = 239,206,747.14
  5. Step 5: Solve for x
    x = 239,206,747.14/19,758
  6. Step 6: Final answer
    x = 12,106.83

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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.