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Finding the Fourth Proportional to 21,843, 32,756.18 and 7,800.41

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Solution

The fourth proportional to 21,843, 32,756.18 and 7,800.41 is: 11,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843 : 32,756.18 = 7,800.41 : x
  2. Step 2: Convert to fraction form
    21,843/32,756.18 = 7,800.41/x
  3. Step 3: Cross multiply
    21,843x = 32,756.18 × 7,800.41
  4. Step 4: Simplify right side
    21,843x = 255,511,431.25
  5. Step 5: Solve for x
    x = 255,511,431.25/21,843
  6. Step 6: Final answer
    x = 11,697.63

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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.