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Finding the Fourth Proportional to 19,839, 29,757.94 and 7,357.57

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Solution

The fourth proportional to 19,839, 29,757.94 and 7,357.57 is: 11,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839 : 29,757.94 = 7,357.57 : x
  2. Step 2: Convert to fraction form
    19,839/29,757.94 = 7,357.57/x
  3. Step 3: Cross multiply
    19,839x = 29,757.94 × 7,357.57
  4. Step 4: Simplify right side
    19,839x = 218,946,126.61
  5. Step 5: Solve for x
    x = 218,946,126.61/19,839
  6. Step 6: Final answer
    x = 11,036.15

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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.