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Finding the Fourth Proportional to 47,764, 71,646 and 18,580

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Solution

The fourth proportional to 47,764, 71,646 and 18,580 is: 27,870

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764 : 71,646 = 18,580 : x
  2. Step 2: Convert to fraction form
    47,764/71,646 = 18,580/x
  3. Step 3: Cross multiply
    47,764x = 71,646 × 18,580
  4. Step 4: Simplify right side
    47,764x = 1,331,182,680
  5. Step 5: Solve for x
    x = 1,331,182,680/47,764
  6. Step 6: Final answer
    x = 27,870

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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.