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Finding the Fourth Proportional to 21,907.26, 32,841.17 and 7,863.98

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Solution

The fourth proportional to 21,907.26, 32,841.17 and 7,863.98 is: 11,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.26 : 32,841.17 = 7,863.98 : x
  2. Step 2: Convert to fraction form
    21,907.26/32,841.17 = 7,863.98/x
  3. Step 3: Cross multiply
    21,907.26x = 32,841.17 × 7,863.98
  4. Step 4: Simplify right side
    21,907.26x = 258,262,100.53
  5. Step 5: Solve for x
    x = 258,262,100.53/21,907.26
  6. Step 6: Final answer
    x = 11,788.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.