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Finding the Fourth Proportional to 19,857.29, 29,788.80 and 6,713.42

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Solution

The fourth proportional to 19,857.29, 29,788.80 and 6,713.42 is: 10,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.29 : 29,788.80 = 6,713.42 : x
  2. Step 2: Convert to fraction form
    19,857.29/29,788.80 = 6,713.42/x
  3. Step 3: Cross multiply
    19,857.29x = 29,788.80 × 6,713.42
  4. Step 4: Simplify right side
    19,857.29x = 199,984,576.75
  5. Step 5: Solve for x
    x = 199,984,576.75/19,857.29
  6. Step 6: Final answer
    x = 10,071.09

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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.