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Finding the Fourth Proportional to 21,199.88, 31,799.82 and 7,348.88

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Solution

The fourth proportional to 21,199.88, 31,799.82 and 7,348.88 is: 11,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.88 : 31,799.82 = 7,348.88 : x
  2. Step 2: Convert to fraction form
    21,199.88/31,799.82 = 7,348.88/x
  3. Step 3: Cross multiply
    21,199.88x = 31,799.82 × 7,348.88
  4. Step 4: Simplify right side
    21,199.88x = 233,693,061.20
  5. Step 5: Solve for x
    x = 233,693,061.20/21,199.88
  6. Step 6: Final answer
    x = 11,023.32

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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.