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Finding the Fourth Proportional to 6,909.12, 9,540.21 and 5,633.21

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Solution

The fourth proportional to 6,909.12, 9,540.21 and 5,633.21 is: 7,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.12 : 9,540.21 = 5,633.21 : x
  2. Step 2: Convert to fraction form
    6,909.12/9,540.21 = 5,633.21/x
  3. Step 3: Cross multiply
    6,909.12x = 9,540.21 × 5,633.21
  4. Step 4: Simplify right side
    6,909.12x = 53,741,958.67
  5. Step 5: Solve for x
    x = 53,741,958.67/6,909.12
  6. Step 6: Final answer
    x = 7,778.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.