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Finding the Fourth Proportional to 14,161, 21,239.11 and 4,297.90

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Solution

The fourth proportional to 14,161, 21,239.11 and 4,297.90 is: 6,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161 : 21,239.11 = 4,297.90 : x
  2. Step 2: Convert to fraction form
    14,161/21,239.11 = 4,297.90/x
  3. Step 3: Cross multiply
    14,161x = 21,239.11 × 4,297.90
  4. Step 4: Simplify right side
    14,161x = 91,283,570.87
  5. Step 5: Solve for x
    x = 91,283,570.87/14,161
  6. Step 6: Final answer
    x = 6,446.12

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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.