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Finding the Fourth Proportional to 21,356.75, 29,473.46 and 12,282

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Solution

The fourth proportional to 21,356.75, 29,473.46 and 12,282 is: 16,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.75 : 29,473.46 = 12,282 : x
  2. Step 2: Convert to fraction form
    21,356.75/29,473.46 = 12,282/x
  3. Step 3: Cross multiply
    21,356.75x = 29,473.46 × 12,282
  4. Step 4: Simplify right side
    21,356.75x = 361,993,035.72
  5. Step 5: Solve for x
    x = 361,993,035.72/21,356.75
  6. Step 6: Final answer
    x = 16,949.82

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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.