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Finding the Fourth Proportional to 7,878.42, 11,826.27 and 3,264.66

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Solution

The fourth proportional to 7,878.42, 11,826.27 and 3,264.66 is: 4,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.42 : 11,826.27 = 3,264.66 : x
  2. Step 2: Convert to fraction form
    7,878.42/11,826.27 = 3,264.66/x
  3. Step 3: Cross multiply
    7,878.42x = 11,826.27 × 3,264.66
  4. Step 4: Simplify right side
    7,878.42x = 38,608,750.62
  5. Step 5: Solve for x
    x = 38,608,750.62/7,878.42
  6. Step 6: Final answer
    x = 4,900.57

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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.