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Finding the Fourth Proportional to 20,438, 30,657 and 5,846

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Solution

The fourth proportional to 20,438, 30,657 and 5,846 is: 8,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 30,657 = 5,846 : x
  2. Step 2: Convert to fraction form
    20,438/30,657 = 5,846/x
  3. Step 3: Cross multiply
    20,438x = 30,657 × 5,846
  4. Step 4: Simplify right side
    20,438x = 179,220,822
  5. Step 5: Solve for x
    x = 179,220,822/20,438
  6. Step 6: Final answer
    x = 8,769

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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.