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Finding the Fourth Proportional to 9,861.80, 13,608.06 and 5,613.41

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Solution

The fourth proportional to 9,861.80, 13,608.06 and 5,613.41 is: 7,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.80 : 13,608.06 = 5,613.41 : x
  2. Step 2: Convert to fraction form
    9,861.80/13,608.06 = 5,613.41/x
  3. Step 3: Cross multiply
    9,861.80x = 13,608.06 × 5,613.41
  4. Step 4: Simplify right side
    9,861.80x = 76,387,620.08
  5. Step 5: Solve for x
    x = 76,387,620.08/9,861.80
  6. Step 6: Final answer
    x = 7,745.81

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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.