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Finding the Fourth Proportional to 9,914.26, 13,674.51 and 8,419.81

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Solution

The fourth proportional to 9,914.26, 13,674.51 and 8,419.81 is: 11,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.26 : 13,674.51 = 8,419.81 : x
  2. Step 2: Convert to fraction form
    9,914.26/13,674.51 = 8,419.81/x
  3. Step 3: Cross multiply
    9,914.26x = 13,674.51 × 8,419.81
  4. Step 4: Simplify right side
    9,914.26x = 115,136,776.04
  5. Step 5: Solve for x
    x = 115,136,776.04/9,914.26
  6. Step 6: Final answer
    x = 11,613.25

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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.