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Finding the Fourth Proportional to 12,200.52, 16,831.13 and 7,164.65

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Solution

The fourth proportional to 12,200.52, 16,831.13 and 7,164.65 is: 9,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.52 : 16,831.13 = 7,164.65 : x
  2. Step 2: Convert to fraction form
    12,200.52/16,831.13 = 7,164.65/x
  3. Step 3: Cross multiply
    12,200.52x = 16,831.13 × 7,164.65
  4. Step 4: Simplify right side
    12,200.52x = 120,589,173.47
  5. Step 5: Solve for x
    x = 120,589,173.47/12,200.52
  6. Step 6: Final answer
    x = 9,883.94

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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.