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Finding the Fourth Proportional to 20,802, 28,706.88 and 13,350

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Solution

The fourth proportional to 20,802, 28,706.88 and 13,350 is: 18,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802 : 28,706.88 = 13,350 : x
  2. Step 2: Convert to fraction form
    20,802/28,706.88 = 13,350/x
  3. Step 3: Cross multiply
    20,802x = 28,706.88 × 13,350
  4. Step 4: Simplify right side
    20,802x = 383,236,848
  5. Step 5: Solve for x
    x = 383,236,848/20,802
  6. Step 6: Final answer
    x = 18,423.08

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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.