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Finding the Fourth Proportional to 34,583, 47,727.78 and 19,679

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Solution

The fourth proportional to 34,583, 47,727.78 and 19,679 is: 27,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,583 : 47,727.78 = 19,679 : x
  2. Step 2: Convert to fraction form
    34,583/47,727.78 = 19,679/x
  3. Step 3: Cross multiply
    34,583x = 47,727.78 × 19,679
  4. Step 4: Simplify right side
    34,583x = 939,234,982.62
  5. Step 5: Solve for x
    x = 939,234,982.62/34,583
  6. Step 6: Final answer
    x = 27,158.86

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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.