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Finding the Fourth Proportional to 11,691.90, 16,134.64 and 6,386.61

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Solution

The fourth proportional to 11,691.90, 16,134.64 and 6,386.61 is: 8,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.90 : 16,134.64 = 6,386.61 : x
  2. Step 2: Convert to fraction form
    11,691.90/16,134.64 = 6,386.61/x
  3. Step 3: Cross multiply
    11,691.90x = 16,134.64 × 6,386.61
  4. Step 4: Simplify right side
    11,691.90x = 103,045,653.17
  5. Step 5: Solve for x
    x = 103,045,653.17/11,691.90
  6. Step 6: Final answer
    x = 8,813.42

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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.