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Finding the Fourth Proportional to 11,825.52, 16,324.64 and 8,424.88

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Solution

The fourth proportional to 11,825.52, 16,324.64 and 8,424.88 is: 11,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.52 : 16,324.64 = 8,424.88 : x
  2. Step 2: Convert to fraction form
    11,825.52/16,324.64 = 8,424.88/x
  3. Step 3: Cross multiply
    11,825.52x = 16,324.64 × 8,424.88
  4. Step 4: Simplify right side
    11,825.52x = 137,533,133.04
  5. Step 5: Solve for x
    x = 137,533,133.04/11,825.52
  6. Step 6: Final answer
    x = 11,630.20

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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.