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Finding the Fourth Proportional to 20,442, 30,663 and 5,850

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Solution

The fourth proportional to 20,442, 30,663 and 5,850 is: 8,775

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442 : 30,663 = 5,850 : x
  2. Step 2: Convert to fraction form
    20,442/30,663 = 5,850/x
  3. Step 3: Cross multiply
    20,442x = 30,663 × 5,850
  4. Step 4: Simplify right side
    20,442x = 179,378,550
  5. Step 5: Solve for x
    x = 179,378,550/20,442
  6. Step 6: Final answer
    x = 8,775

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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.