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Finding the Fourth Proportional to 8,530, 12,793.91 and 2,686.66

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Solution

The fourth proportional to 8,530, 12,793.91 and 2,686.66 is: 4,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530 : 12,793.91 = 2,686.66 : x
  2. Step 2: Convert to fraction form
    8,530/12,793.91 = 2,686.66/x
  3. Step 3: Cross multiply
    8,530x = 12,793.91 × 2,686.66
  4. Step 4: Simplify right side
    8,530x = 34,372,886.24
  5. Step 5: Solve for x
    x = 34,372,886.24/8,530
  6. Step 6: Final answer
    x = 4,029.65

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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.