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Finding the Fourth Proportional to 15,896, 21,936.48 and 8,823.56

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Solution

The fourth proportional to 15,896, 21,936.48 and 8,823.56 is: 12,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896 : 21,936.48 = 8,823.56 : x
  2. Step 2: Convert to fraction form
    15,896/21,936.48 = 8,823.56/x
  3. Step 3: Cross multiply
    15,896x = 21,936.48 × 8,823.56
  4. Step 4: Simplify right side
    15,896x = 193,557,847.47
  5. Step 5: Solve for x
    x = 193,557,847.47/15,896
  6. Step 6: Final answer
    x = 12,176.51

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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.