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Finding the Fourth Proportional to 20,920, 28,872.16 and 12,088

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Solution

The fourth proportional to 20,920, 28,872.16 and 12,088 is: 16,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920 : 28,872.16 = 12,088 : x
  2. Step 2: Convert to fraction form
    20,920/28,872.16 = 12,088/x
  3. Step 3: Cross multiply
    20,920x = 28,872.16 × 12,088
  4. Step 4: Simplify right side
    20,920x = 349,006,670.08
  5. Step 5: Solve for x
    x = 349,006,670.08/20,920
  6. Step 6: Final answer
    x = 16,682.92

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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.