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Finding the Fourth Proportional to 12,196.59, 16,831.10 and 6,891.09

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Solution

The fourth proportional to 12,196.59, 16,831.10 and 6,891.09 is: 9,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.59 : 16,831.10 = 6,891.09 : x
  2. Step 2: Convert to fraction form
    12,196.59/16,831.10 = 6,891.09/x
  3. Step 3: Cross multiply
    12,196.59x = 16,831.10 × 6,891.09
  4. Step 4: Simplify right side
    12,196.59x = 115,984,624.90
  5. Step 5: Solve for x
    x = 115,984,624.90/12,196.59
  6. Step 6: Final answer
    x = 9,509.59

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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.