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Finding the Fourth Proportional to 7,855.85, 11,774.06 and 3,958.13

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Solution

The fourth proportional to 7,855.85, 11,774.06 and 3,958.13 is: 5,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.85 : 11,774.06 = 3,958.13 : x
  2. Step 2: Convert to fraction form
    7,855.85/11,774.06 = 3,958.13/x
  3. Step 3: Cross multiply
    7,855.85x = 11,774.06 × 3,958.13
  4. Step 4: Simplify right side
    7,855.85x = 46,603,240.32
  5. Step 5: Solve for x
    x = 46,603,240.32/7,855.85
  6. Step 6: Final answer
    x = 5,932.30

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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.