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Finding the Fourth Proportional to 7,847.52, 11,772.36 and 2,916.74

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Solution

The fourth proportional to 7,847.52, 11,772.36 and 2,916.74 is: 4,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.52 : 11,772.36 = 2,916.74 : x
  2. Step 2: Convert to fraction form
    7,847.52/11,772.36 = 2,916.74/x
  3. Step 3: Cross multiply
    7,847.52x = 11,772.36 × 2,916.74
  4. Step 4: Simplify right side
    7,847.52x = 34,336,913.31
  5. Step 5: Solve for x
    x = 34,336,913.31/7,847.52
  6. Step 6: Final answer
    x = 4,375.51

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1.5x scale

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.