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Finding the Fourth Proportional to 21,872.34, 32,808.51 and 8,727.66

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Solution

The fourth proportional to 21,872.34, 32,808.51 and 8,727.66 is: 13,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.34 : 32,808.51 = 8,727.66 : x
  2. Step 2: Convert to fraction form
    21,872.34/32,808.51 = 8,727.66/x
  3. Step 3: Cross multiply
    21,872.34x = 32,808.51 × 8,727.66
  4. Step 4: Simplify right side
    21,872.34x = 286,341,520.39
  5. Step 5: Solve for x
    x = 286,341,520.39/21,872.34
  6. Step 6: Final answer
    x = 13,091.49

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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.