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Finding the Fourth Proportional to 20,728.91, 28,605.66 and 12,231

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Solution

The fourth proportional to 20,728.91, 28,605.66 and 12,231 is: 16,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.91 : 28,605.66 = 12,231 : x
  2. Step 2: Convert to fraction form
    20,728.91/28,605.66 = 12,231/x
  3. Step 3: Cross multiply
    20,728.91x = 28,605.66 × 12,231
  4. Step 4: Simplify right side
    20,728.91x = 349,875,781.59
  5. Step 5: Solve for x
    x = 349,875,781.59/20,728.91
  6. Step 6: Final answer
    x = 16,878.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.