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Finding the Fourth Proportional to 20,808.62, 28,716 and 11,377.20

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Solution

The fourth proportional to 20,808.62, 28,716 and 11,377.20 is: 15,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.62 : 28,716 = 11,377.20 : x
  2. Step 2: Convert to fraction form
    20,808.62/28,716 = 11,377.20/x
  3. Step 3: Cross multiply
    20,808.62x = 28,716 × 11,377.20
  4. Step 4: Simplify right side
    20,808.62x = 326,707,675.20
  5. Step 5: Solve for x
    x = 326,707,675.20/20,808.62
  6. Step 6: Final answer
    x = 15,700.59

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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.