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Finding the Fourth Proportional to 9,914.32, 13,674.60 and 8,419.88

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Solution

The fourth proportional to 9,914.32, 13,674.60 and 8,419.88 is: 11,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.32 : 13,674.60 = 8,419.88 : x
  2. Step 2: Convert to fraction form
    9,914.32/13,674.60 = 8,419.88/x
  3. Step 3: Cross multiply
    9,914.32x = 13,674.60 × 8,419.88
  4. Step 4: Simplify right side
    9,914.32x = 115,138,491.05
  5. Step 5: Solve for x
    x = 115,138,491.05/9,914.32
  6. Step 6: Final answer
    x = 11,613.35

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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.