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Finding the Fourth Proportional to 21,781.76, 32,674.59 and 8,454.44

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Solution

The fourth proportional to 21,781.76, 32,674.59 and 8,454.44 is: 12,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.76 : 32,674.59 = 8,454.44 : x
  2. Step 2: Convert to fraction form
    21,781.76/32,674.59 = 8,454.44/x
  3. Step 3: Cross multiply
    21,781.76x = 32,674.59 × 8,454.44
  4. Step 4: Simplify right side
    21,781.76x = 276,245,442.37
  5. Step 5: Solve for x
    x = 276,245,442.37/21,781.76
  6. Step 6: Final answer
    x = 12,682.42

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1.5x scale

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.