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Finding the Fourth Proportional to 7,847.26, 11,770.89 and 2,653

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Solution

The fourth proportional to 7,847.26, 11,770.89 and 2,653 is: 3,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.26 : 11,770.89 = 2,653 : x
  2. Step 2: Convert to fraction form
    7,847.26/11,770.89 = 2,653/x
  3. Step 3: Cross multiply
    7,847.26x = 11,770.89 × 2,653
  4. Step 4: Simplify right side
    7,847.26x = 31,228,171.17
  5. Step 5: Solve for x
    x = 31,228,171.17/7,847.26
  6. Step 6: Final answer
    x = 3,979.50

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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.