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Finding the Fourth Proportional to 20,256, 30,398.40 and 7,944

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Solution

The fourth proportional to 20,256, 30,398.40 and 7,944 is: 11,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,256 : 30,398.40 = 7,944 : x
  2. Step 2: Convert to fraction form
    20,256/30,398.40 = 7,944/x
  3. Step 3: Cross multiply
    20,256x = 30,398.40 × 7,944
  4. Step 4: Simplify right side
    20,256x = 241,484,889.60
  5. Step 5: Solve for x
    x = 241,484,889.60/20,256
  6. Step 6: Final answer
    x = 11,921.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.