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Finding the Fourth Proportional to 7,877.09, 11,815.63 and 5,404.41

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Solution

The fourth proportional to 7,877.09, 11,815.63 and 5,404.41 is: 8,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.09 : 11,815.63 = 5,404.41 : x
  2. Step 2: Convert to fraction form
    7,877.09/11,815.63 = 5,404.41/x
  3. Step 3: Cross multiply
    7,877.09x = 11,815.63 × 5,404.41
  4. Step 4: Simplify right side
    7,877.09x = 63,856,508.93
  5. Step 5: Solve for x
    x = 63,856,508.93/7,877.09
  6. Step 6: Final answer
    x = 8,106.61

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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.