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Finding the Fourth Proportional to 15,898.92, 21,940.20 and 8,825.22

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Solution

The fourth proportional to 15,898.92, 21,940.20 and 8,825.22 is: 12,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.92 : 21,940.20 = 8,825.22 : x
  2. Step 2: Convert to fraction form
    15,898.92/21,940.20 = 8,825.22/x
  3. Step 3: Cross multiply
    15,898.92x = 21,940.20 × 8,825.22
  4. Step 4: Simplify right side
    15,898.92x = 193,627,091.84
  5. Step 5: Solve for x
    x = 193,627,091.84/15,898.92
  6. Step 6: Final answer
    x = 12,178.63

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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.