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Finding the Fourth Proportional to 7,872.77, 10,857.97 and 5,745.91

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Solution

The fourth proportional to 7,872.77, 10,857.97 and 5,745.91 is: 7,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.77 : 10,857.97 = 5,745.91 : x
  2. Step 2: Convert to fraction form
    7,872.77/10,857.97 = 5,745.91/x
  3. Step 3: Cross multiply
    7,872.77x = 10,857.97 × 5,745.91
  4. Step 4: Simplify right side
    7,872.77x = 62,388,889.67
  5. Step 5: Solve for x
    x = 62,388,889.67/7,872.77
  6. Step 6: Final answer
    x = 7,924.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.