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Finding the Fourth Proportional to 21,874.86, 32,805.37 and 7,080.35

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Solution

The fourth proportional to 21,874.86, 32,805.37 and 7,080.35 is: 10,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.86 : 32,805.37 = 7,080.35 : x
  2. Step 2: Convert to fraction form
    21,874.86/32,805.37 = 7,080.35/x
  3. Step 3: Cross multiply
    21,874.86x = 32,805.37 × 7,080.35
  4. Step 4: Simplify right side
    21,874.86x = 232,273,346.30
  5. Step 5: Solve for x
    x = 232,273,346.30/21,874.86
  6. Step 6: Final answer
    x = 10,618.28

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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.