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Finding the Fourth Proportional to 12,914.03, 17,813.85 and 8,132.09

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Solution

The fourth proportional to 12,914.03, 17,813.85 and 8,132.09 is: 11,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.03 : 17,813.85 = 8,132.09 : x
  2. Step 2: Convert to fraction form
    12,914.03/17,813.85 = 8,132.09/x
  3. Step 3: Cross multiply
    12,914.03x = 17,813.85 × 8,132.09
  4. Step 4: Simplify right side
    12,914.03x = 144,863,831.45
  5. Step 5: Solve for x
    x = 144,863,831.45/12,914.03
  6. Step 6: Final answer
    x = 11,217.55

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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.