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Finding the Fourth Proportional to 21,174.36, 31,764.78 and 6,381.36

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Solution

The fourth proportional to 21,174.36, 31,764.78 and 6,381.36 is: 9,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.36 : 31,764.78 = 6,381.36 : x
  2. Step 2: Convert to fraction form
    21,174.36/31,764.78 = 6,381.36/x
  3. Step 3: Cross multiply
    21,174.36x = 31,764.78 × 6,381.36
  4. Step 4: Simplify right side
    21,174.36x = 202,702,496.50
  5. Step 5: Solve for x
    x = 202,702,496.50/21,174.36
  6. Step 6: Final answer
    x = 9,573.02

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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.