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Finding the Fourth Proportional to 19,398, 29,097 and 6,251.72

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Solution

The fourth proportional to 19,398, 29,097 and 6,251.72 is: 9,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398 : 29,097 = 6,251.72 : x
  2. Step 2: Convert to fraction form
    19,398/29,097 = 6,251.72/x
  3. Step 3: Cross multiply
    19,398x = 29,097 × 6,251.72
  4. Step 4: Simplify right side
    19,398x = 181,906,296.84
  5. Step 5: Solve for x
    x = 181,906,296.84/19,398
  6. Step 6: Final answer
    x = 9,377.58

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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.