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Finding the Fourth Proportional to 48,694, 67,197.72 and 28,822

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Solution

The fourth proportional to 48,694, 67,197.72 and 28,822 is: 39,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,694 : 67,197.72 = 28,822 : x
  2. Step 2: Convert to fraction form
    48,694/67,197.72 = 28,822/x
  3. Step 3: Cross multiply
    48,694x = 67,197.72 × 28,822
  4. Step 4: Simplify right side
    48,694x = 1,936,772,685.84
  5. Step 5: Solve for x
    x = 1,936,772,685.84/48,694
  6. Step 6: Final answer
    x = 39,774.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.