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Finding the Fourth Proportional to 11,952.91, 16,494.78 and 6,647.61

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Solution

The fourth proportional to 11,952.91, 16,494.78 and 6,647.61 is: 9,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.91 : 16,494.78 = 6,647.61 : x
  2. Step 2: Convert to fraction form
    11,952.91/16,494.78 = 6,647.61/x
  3. Step 3: Cross multiply
    11,952.91x = 16,494.78 × 6,647.61
  4. Step 4: Simplify right side
    11,952.91x = 109,650,864.48
  5. Step 5: Solve for x
    x = 109,650,864.48/11,952.91
  6. Step 6: Final answer
    x = 9,173.57

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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.