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Finding the Fourth Proportional to 11,506.27, 15,884 and 8,674.79

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Solution

The fourth proportional to 11,506.27, 15,884 and 8,674.79 is: 11,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.27 : 15,884 = 8,674.79 : x
  2. Step 2: Convert to fraction form
    11,506.27/15,884 = 8,674.79/x
  3. Step 3: Cross multiply
    11,506.27x = 15,884 × 8,674.79
  4. Step 4: Simplify right side
    11,506.27x = 137,790,364.36
  5. Step 5: Solve for x
    x = 137,790,364.36/11,506.27
  6. Step 6: Final answer
    x = 11,975.24

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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.