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Finding the Fourth Proportional to 7,847.71, 11,772.59 and 2,916.70

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Solution

The fourth proportional to 7,847.71, 11,772.59 and 2,916.70 is: 4,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.71 : 11,772.59 = 2,916.70 : x
  2. Step 2: Convert to fraction form
    7,847.71/11,772.59 = 2,916.70/x
  3. Step 3: Cross multiply
    7,847.71x = 11,772.59 × 2,916.70
  4. Step 4: Simplify right side
    7,847.71x = 34,337,069.24
  5. Step 5: Solve for x
    x = 34,337,069.24/7,847.71
  6. Step 6: Final answer
    x = 4,375.43

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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.