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Finding the Fourth Proportional to 21,235.64, 29,306.22 and 11,804

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Solution

The fourth proportional to 21,235.64, 29,306.22 and 11,804 is: 16,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.64 : 29,306.22 = 11,804 : x
  2. Step 2: Convert to fraction form
    21,235.64/29,306.22 = 11,804/x
  3. Step 3: Cross multiply
    21,235.64x = 29,306.22 × 11,804
  4. Step 4: Simplify right side
    21,235.64x = 345,930,620.88
  5. Step 5: Solve for x
    x = 345,930,620.88/21,235.64
  6. Step 6: Final answer
    x = 16,290.10

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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.