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Finding the Fourth Proportional to 8,207.78, 12,311.70 and 2,051.78

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Solution

The fourth proportional to 8,207.78, 12,311.70 and 2,051.78 is: 3,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.78 : 12,311.70 = 2,051.78 : x
  2. Step 2: Convert to fraction form
    8,207.78/12,311.70 = 2,051.78/x
  3. Step 3: Cross multiply
    8,207.78x = 12,311.70 × 2,051.78
  4. Step 4: Simplify right side
    8,207.78x = 25,260,899.83
  5. Step 5: Solve for x
    x = 25,260,899.83/8,207.78
  6. Step 6: Final answer
    x = 3,077.68

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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.