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Finding the Fourth Proportional to 20,216.64, 30,324.96 and 7,896

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Solution

The fourth proportional to 20,216.64, 30,324.96 and 7,896 is: 11,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.64 : 30,324.96 = 7,896 : x
  2. Step 2: Convert to fraction form
    20,216.64/30,324.96 = 7,896/x
  3. Step 3: Cross multiply
    20,216.64x = 30,324.96 × 7,896
  4. Step 4: Simplify right side
    20,216.64x = 239,445,884.16
  5. Step 5: Solve for x
    x = 239,445,884.16/20,216.64
  6. Step 6: Final answer
    x = 11,844

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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.