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Finding the Fourth Proportional to 22,383, 30,889.08 and 12,311.28

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Solution

The fourth proportional to 22,383, 30,889.08 and 12,311.28 is: 16,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383 : 30,889.08 = 12,311.28 : x
  2. Step 2: Convert to fraction form
    22,383/30,889.08 = 12,311.28/x
  3. Step 3: Cross multiply
    22,383x = 30,889.08 × 12,311.28
  4. Step 4: Simplify right side
    22,383x = 380,284,112.82
  5. Step 5: Solve for x
    x = 380,284,112.82/22,383
  6. Step 6: Final answer
    x = 16,989.86

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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.