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Finding the Fourth Proportional to 21,078, 29,085.12 and 11,645.28

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Solution

The fourth proportional to 21,078, 29,085.12 and 11,645.28 is: 16,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078 : 29,085.12 = 11,645.28 : x
  2. Step 2: Convert to fraction form
    21,078/29,085.12 = 11,645.28/x
  3. Step 3: Cross multiply
    21,078x = 29,085.12 × 11,645.28
  4. Step 4: Simplify right side
    21,078x = 338,704,366.23
  5. Step 5: Solve for x
    x = 338,704,366.23/21,078
  6. Step 6: Final answer
    x = 16,069.09

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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.