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Finding the Fourth Proportional to 21,261.62, 31,895.04 and 7,223.96

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Solution

The fourth proportional to 21,261.62, 31,895.04 and 7,223.96 is: 10,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.62 : 31,895.04 = 7,223.96 : x
  2. Step 2: Convert to fraction form
    21,261.62/31,895.04 = 7,223.96/x
  3. Step 3: Cross multiply
    21,261.62x = 31,895.04 × 7,223.96
  4. Step 4: Simplify right side
    21,261.62x = 230,408,493.16
  5. Step 5: Solve for x
    x = 230,408,493.16/21,261.62
  6. Step 6: Final answer
    x = 10,836.83

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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.