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Finding the Fourth Proportional to 15,883.84, 21,921.24 and 8,812

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Solution

The fourth proportional to 15,883.84, 21,921.24 and 8,812 is: 12,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.84 : 21,921.24 = 8,812 : x
  2. Step 2: Convert to fraction form
    15,883.84/21,921.24 = 8,812/x
  3. Step 3: Cross multiply
    15,883.84x = 21,921.24 × 8,812
  4. Step 4: Simplify right side
    15,883.84x = 193,169,966.88
  5. Step 5: Solve for x
    x = 193,169,966.88/15,883.84
  6. Step 6: Final answer
    x = 12,161.41

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1.5x scale

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.