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Finding the Fourth Proportional to 42,562, 63,843 and 13,378

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Solution

The fourth proportional to 42,562, 63,843 and 13,378 is: 20,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,562 : 63,843 = 13,378 : x
  2. Step 2: Convert to fraction form
    42,562/63,843 = 13,378/x
  3. Step 3: Cross multiply
    42,562x = 63,843 × 13,378
  4. Step 4: Simplify right side
    42,562x = 854,091,654
  5. Step 5: Solve for x
    x = 854,091,654/42,562
  6. Step 6: Final answer
    x = 20,067

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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.