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Finding the Fourth Proportional to 7,872.39, 11,800.08 and 3,977.10

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Solution

The fourth proportional to 7,872.39, 11,800.08 and 3,977.10 is: 5,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.39 : 11,800.08 = 3,977.10 : x
  2. Step 2: Convert to fraction form
    7,872.39/11,800.08 = 3,977.10/x
  3. Step 3: Cross multiply
    7,872.39x = 11,800.08 × 3,977.10
  4. Step 4: Simplify right side
    7,872.39x = 46,930,098.17
  5. Step 5: Solve for x
    x = 46,930,098.17/7,872.39
  6. Step 6: Final answer
    x = 5,961.35

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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.