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Finding the Fourth Proportional to 7,874.16, 11,815.86 and 7,265.22

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Solution

The fourth proportional to 7,874.16, 11,815.86 and 7,265.22 is: 10,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.16 : 11,815.86 = 7,265.22 : x
  2. Step 2: Convert to fraction form
    7,874.16/11,815.86 = 7,265.22/x
  3. Step 3: Cross multiply
    7,874.16x = 11,815.86 × 7,265.22
  4. Step 4: Simplify right side
    7,874.16x = 85,844,822.39
  5. Step 5: Solve for x
    x = 85,844,822.39/7,874.16
  6. Step 6: Final answer
    x = 10,902.09

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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.