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Finding the Fourth Proportional to 21,253.52, 29,329.70 and 11,822

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Solution

The fourth proportional to 21,253.52, 29,329.70 and 11,822 is: 16,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.52 : 29,329.70 = 11,822 : x
  2. Step 2: Convert to fraction form
    21,253.52/29,329.70 = 11,822/x
  3. Step 3: Cross multiply
    21,253.52x = 29,329.70 × 11,822
  4. Step 4: Simplify right side
    21,253.52x = 346,735,713.40
  5. Step 5: Solve for x
    x = 346,735,713.40/21,253.52
  6. Step 6: Final answer
    x = 16,314.27

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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.