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Finding the Fourth Proportional to 8,374.47, 12,558.06 and 2,826.78

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Solution

The fourth proportional to 8,374.47, 12,558.06 and 2,826.78 is: 4,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.47 : 12,558.06 = 2,826.78 : x
  2. Step 2: Convert to fraction form
    8,374.47/12,558.06 = 2,826.78/x
  3. Step 3: Cross multiply
    8,374.47x = 12,558.06 × 2,826.78
  4. Step 4: Simplify right side
    8,374.47x = 35,498,872.85
  5. Step 5: Solve for x
    x = 35,498,872.85/8,374.47
  6. Step 6: Final answer
    x = 4,238.94

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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.