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Finding the Fourth Proportional to 12,221.16, 18,334.17 and 5,201.16

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Solution

The fourth proportional to 12,221.16, 18,334.17 and 5,201.16 is: 7,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.16 : 18,334.17 = 5,201.16 : x
  2. Step 2: Convert to fraction form
    12,221.16/18,334.17 = 5,201.16/x
  3. Step 3: Cross multiply
    12,221.16x = 18,334.17 × 5,201.16
  4. Step 4: Simplify right side
    12,221.16x = 95,358,951.64
  5. Step 5: Solve for x
    x = 95,358,951.64/12,221.16
  6. Step 6: Final answer
    x = 7,802.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.