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Finding the Fourth Proportional to 21,073.50, 29,081.70 and 11,642.94

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Solution

The fourth proportional to 21,073.50, 29,081.70 and 11,642.94 is: 16,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073.50 : 29,081.70 = 11,642.94 : x
  2. Step 2: Convert to fraction form
    21,073.50/29,081.70 = 11,642.94/x
  3. Step 3: Cross multiply
    21,073.50x = 29,081.70 × 11,642.94
  4. Step 4: Simplify right side
    21,073.50x = 338,596,488.20
  5. Step 5: Solve for x
    x = 338,596,488.20/21,073.50
  6. Step 6: Final answer
    x = 16,067.41

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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.