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Finding the Fourth Proportional to 9,884.85, 13,645.06 and 5,905.22

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Solution

The fourth proportional to 9,884.85, 13,645.06 and 5,905.22 is: 8,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.85 : 13,645.06 = 5,905.22 : x
  2. Step 2: Convert to fraction form
    9,884.85/13,645.06 = 5,905.22/x
  3. Step 3: Cross multiply
    9,884.85x = 13,645.06 × 5,905.22
  4. Step 4: Simplify right side
    9,884.85x = 80,577,074.98
  5. Step 5: Solve for x
    x = 80,577,074.98/9,884.85
  6. Step 6: Final answer
    x = 8,151.57

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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.