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Finding the Fourth Proportional to 19,990, 29,985 and 5,398

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Solution

The fourth proportional to 19,990, 29,985 and 5,398 is: 8,097

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990 : 29,985 = 5,398 : x
  2. Step 2: Convert to fraction form
    19,990/29,985 = 5,398/x
  3. Step 3: Cross multiply
    19,990x = 29,985 × 5,398
  4. Step 4: Simplify right side
    19,990x = 161,859,030
  5. Step 5: Solve for x
    x = 161,859,030/19,990
  6. Step 6: Final answer
    x = 8,097

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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.