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Finding the Fourth Proportional to 19,970, 29,955 and 5,378

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Solution

The fourth proportional to 19,970, 29,955 and 5,378 is: 8,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970 : 29,955 = 5,378 : x
  2. Step 2: Convert to fraction form
    19,970/29,955 = 5,378/x
  3. Step 3: Cross multiply
    19,970x = 29,955 × 5,378
  4. Step 4: Simplify right side
    19,970x = 161,097,990
  5. Step 5: Solve for x
    x = 161,097,990/19,970
  6. Step 6: Final answer
    x = 8,067

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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.