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Finding the Fourth Proportional to 21,524.82, 32,281.06 and 8,374.10

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Solution

The fourth proportional to 21,524.82, 32,281.06 and 8,374.10 is: 12,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.82 : 32,281.06 = 8,374.10 : x
  2. Step 2: Convert to fraction form
    21,524.82/32,281.06 = 8,374.10/x
  3. Step 3: Cross multiply
    21,524.82x = 32,281.06 × 8,374.10
  4. Step 4: Simplify right side
    21,524.82x = 270,324,824.55
  5. Step 5: Solve for x
    x = 270,324,824.55/21,524.82
  6. Step 6: Final answer
    x = 12,558.75

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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.