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Finding the Fourth Proportional to 15,822.70, 23,721.90 and 8,897.20

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Solution

The fourth proportional to 15,822.70, 23,721.90 and 8,897.20 is: 13,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.70 : 23,721.90 = 8,897.20 : x
  2. Step 2: Convert to fraction form
    15,822.70/23,721.90 = 8,897.20/x
  3. Step 3: Cross multiply
    15,822.70x = 23,721.90 × 8,897.20
  4. Step 4: Simplify right side
    15,822.70x = 211,058,488.68
  5. Step 5: Solve for x
    x = 211,058,488.68/15,822.70
  6. Step 6: Final answer
    x = 13,338.97

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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.