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Finding the Fourth Proportional to 21,162, 29,196.90 and 14,089.56

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Solution

The fourth proportional to 21,162, 29,196.90 and 14,089.56 is: 19,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162 : 29,196.90 = 14,089.56 : x
  2. Step 2: Convert to fraction form
    21,162/29,196.90 = 14,089.56/x
  3. Step 3: Cross multiply
    21,162x = 29,196.90 × 14,089.56
  4. Step 4: Simplify right side
    21,162x = 411,371,474.36
  5. Step 5: Solve for x
    x = 411,371,474.36/21,162
  6. Step 6: Final answer
    x = 19,439.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.