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Finding the Fourth Proportional to 7,872.77, 10,855.40 and 5,879.96

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Solution

The fourth proportional to 7,872.77, 10,855.40 and 5,879.96 is: 8,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.77 : 10,855.40 = 5,879.96 : x
  2. Step 2: Convert to fraction form
    7,872.77/10,855.40 = 5,879.96/x
  3. Step 3: Cross multiply
    7,872.77x = 10,855.40 × 5,879.96
  4. Step 4: Simplify right side
    7,872.77x = 63,829,278.21
  5. Step 5: Solve for x
    x = 63,829,278.21/7,872.77
  6. Step 6: Final answer
    x = 8,107.61

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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.