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Finding the Fourth Proportional to 8,502.14, 11,628.66 and 8,366.06

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Solution

The fourth proportional to 8,502.14, 11,628.66 and 8,366.06 is: 11,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.14 : 11,628.66 = 8,366.06 : x
  2. Step 2: Convert to fraction form
    8,502.14/11,628.66 = 8,366.06/x
  3. Step 3: Cross multiply
    8,502.14x = 11,628.66 × 8,366.06
  4. Step 4: Simplify right side
    8,502.14x = 97,286,067.28
  5. Step 5: Solve for x
    x = 97,286,067.28/8,502.14
  6. Step 6: Final answer
    x = 11,442.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.