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Finding the Fourth Proportional to 12,831.21, 17,702.10 and 7,524.09

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Solution

The fourth proportional to 12,831.21, 17,702.10 and 7,524.09 is: 10,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.21 : 17,702.10 = 7,524.09 : x
  2. Step 2: Convert to fraction form
    12,831.21/17,702.10 = 7,524.09/x
  3. Step 3: Cross multiply
    12,831.21x = 17,702.10 × 7,524.09
  4. Step 4: Simplify right side
    12,831.21x = 133,192,193.59
  5. Step 5: Solve for x
    x = 133,192,193.59/12,831.21
  6. Step 6: Final answer
    x = 10,380.33

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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.