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Finding the Fourth Proportional to 21,155.46, 29,191.46 and 11,724

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Solution

The fourth proportional to 21,155.46, 29,191.46 and 11,724 is: 16,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,155.46 : 29,191.46 = 11,724 : x
  2. Step 2: Convert to fraction form
    21,155.46/29,191.46 = 11,724/x
  3. Step 3: Cross multiply
    21,155.46x = 29,191.46 × 11,724
  4. Step 4: Simplify right side
    21,155.46x = 342,240,677.04
  5. Step 5: Solve for x
    x = 342,240,677.04/21,155.46
  6. Step 6: Final answer
    x = 16,177.42

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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.