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Finding the Fourth Proportional to 7,846.86, 11,772.18 and 2,916.66

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Solution

The fourth proportional to 7,846.86, 11,772.18 and 2,916.66 is: 4,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.86 : 11,772.18 = 2,916.66 : x
  2. Step 2: Convert to fraction form
    7,846.86/11,772.18 = 2,916.66/x
  3. Step 3: Cross multiply
    7,846.86x = 11,772.18 × 2,916.66
  4. Step 4: Simplify right side
    7,846.86x = 34,335,446.52
  5. Step 5: Solve for x
    x = 34,335,446.52/7,846.86
  6. Step 6: Final answer
    x = 4,375.69

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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.