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Finding the Fourth Proportional to 21,208.80, 31,822.80 and 10,111.20

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Solution

The fourth proportional to 21,208.80, 31,822.80 and 10,111.20 is: 15,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.80 : 31,822.80 = 10,111.20 : x
  2. Step 2: Convert to fraction form
    21,208.80/31,822.80 = 10,111.20/x
  3. Step 3: Cross multiply
    21,208.80x = 31,822.80 × 10,111.20
  4. Step 4: Simplify right side
    21,208.80x = 321,766,695.36
  5. Step 5: Solve for x
    x = 321,766,695.36/21,208.80
  6. Step 6: Final answer
    x = 15,171.38

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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.