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Finding the Fourth Proportional to 9,645.85, 13,311.38 and 5,667.13

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Solution

The fourth proportional to 9,645.85, 13,311.38 and 5,667.13 is: 7,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.85 : 13,311.38 = 5,667.13 : x
  2. Step 2: Convert to fraction form
    9,645.85/13,311.38 = 5,667.13/x
  3. Step 3: Cross multiply
    9,645.85x = 13,311.38 × 5,667.13
  4. Step 4: Simplify right side
    9,645.85x = 75,437,292.60
  5. Step 5: Solve for x
    x = 75,437,292.60/9,645.85
  6. Step 6: Final answer
    x = 7,820.70

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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.