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Finding the Fourth Proportional to 8,271.78, 12,407.64 and 2,115.78

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Solution

The fourth proportional to 8,271.78, 12,407.64 and 2,115.78 is: 3,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.78 : 12,407.64 = 2,115.78 : x
  2. Step 2: Convert to fraction form
    8,271.78/12,407.64 = 2,115.78/x
  3. Step 3: Cross multiply
    8,271.78x = 12,407.64 × 2,115.78
  4. Step 4: Simplify right side
    8,271.78x = 26,251,836.56
  5. Step 5: Solve for x
    x = 26,251,836.56/8,271.78
  6. Step 6: Final answer
    x = 3,173.66

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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.