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Finding the Fourth Proportional to 19,739, 29,608.50 and 6,588.38

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Solution

The fourth proportional to 19,739, 29,608.50 and 6,588.38 is: 9,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739 : 29,608.50 = 6,588.38 : x
  2. Step 2: Convert to fraction form
    19,739/29,608.50 = 6,588.38/x
  3. Step 3: Cross multiply
    19,739x = 29,608.50 × 6,588.38
  4. Step 4: Simplify right side
    19,739x = 195,072,049.23
  5. Step 5: Solve for x
    x = 195,072,049.23/19,739
  6. Step 6: Final answer
    x = 9,882.57

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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.