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Finding the Fourth Proportional to 15,897.48, 21,939.24 and 8,824

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Solution

The fourth proportional to 15,897.48, 21,939.24 and 8,824 is: 12,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.48 : 21,939.24 = 8,824 : x
  2. Step 2: Convert to fraction form
    15,897.48/21,939.24 = 8,824/x
  3. Step 3: Cross multiply
    15,897.48x = 21,939.24 × 8,824
  4. Step 4: Simplify right side
    15,897.48x = 193,591,853.76
  5. Step 5: Solve for x
    x = 193,591,853.76/15,897.48
  6. Step 6: Final answer
    x = 12,177.52

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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.