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Finding the Fourth Proportional to 11,514.81, 15,895.71 and 8,683.32

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Solution

The fourth proportional to 11,514.81, 15,895.71 and 8,683.32 is: 11,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.81 : 15,895.71 = 8,683.32 : x
  2. Step 2: Convert to fraction form
    11,514.81/15,895.71 = 8,683.32/x
  3. Step 3: Cross multiply
    11,514.81x = 15,895.71 × 8,683.32
  4. Step 4: Simplify right side
    11,514.81x = 138,027,536.56
  5. Step 5: Solve for x
    x = 138,027,536.56/11,514.81
  6. Step 6: Final answer
    x = 11,986.96

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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.