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Finding the Fourth Proportional to 20,254, 30,381 and 5,662

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Solution

The fourth proportional to 20,254, 30,381 and 5,662 is: 8,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254 : 30,381 = 5,662 : x
  2. Step 2: Convert to fraction form
    20,254/30,381 = 5,662/x
  3. Step 3: Cross multiply
    20,254x = 30,381 × 5,662
  4. Step 4: Simplify right side
    20,254x = 172,017,222
  5. Step 5: Solve for x
    x = 172,017,222/20,254
  6. Step 6: Final answer
    x = 8,493

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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.