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Finding the Fourth Proportional to 7,772.44, 11,717.24 and 7,271.32

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Solution

The fourth proportional to 7,772.44, 11,717.24 and 7,271.32 is: 10,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.44 : 11,717.24 = 7,271.32 : x
  2. Step 2: Convert to fraction form
    7,772.44/11,717.24 = 7,271.32/x
  3. Step 3: Cross multiply
    7,772.44x = 11,717.24 × 7,271.32
  4. Step 4: Simplify right side
    7,772.44x = 85,199,801.56
  5. Step 5: Solve for x
    x = 85,199,801.56/7,772.44
  6. Step 6: Final answer
    x = 10,961.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.