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Finding the Fourth Proportional to 21,886.13, 32,825.61 and 7,843.74

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Solution

The fourth proportional to 21,886.13, 32,825.61 and 7,843.74 is: 11,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.13 : 32,825.61 = 7,843.74 : x
  2. Step 2: Convert to fraction form
    21,886.13/32,825.61 = 7,843.74/x
  3. Step 3: Cross multiply
    21,886.13x = 32,825.61 × 7,843.74
  4. Step 4: Simplify right side
    21,886.13x = 257,475,550.18
  5. Step 5: Solve for x
    x = 257,475,550.18/21,886.13
  6. Step 6: Final answer
    x = 11,764.33

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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.