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Finding the Fourth Proportional to 21,343.32, 32,019.10 and 8,194.68

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Solution

The fourth proportional to 21,343.32, 32,019.10 and 8,194.68 is: 12,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.32 : 32,019.10 = 8,194.68 : x
  2. Step 2: Convert to fraction form
    21,343.32/32,019.10 = 8,194.68/x
  3. Step 3: Cross multiply
    21,343.32x = 32,019.10 × 8,194.68
  4. Step 4: Simplify right side
    21,343.32x = 262,386,278.39
  5. Step 5: Solve for x
    x = 262,386,278.39/21,343.32
  6. Step 6: Final answer
    x = 12,293.60

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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.