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Finding the Fourth Proportional to 13,650.22, 18,831 and 9,867.38

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Solution

The fourth proportional to 13,650.22, 18,831 and 9,867.38 is: 13,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.22 : 18,831 = 9,867.38 : x
  2. Step 2: Convert to fraction form
    13,650.22/18,831 = 9,867.38/x
  3. Step 3: Cross multiply
    13,650.22x = 18,831 × 9,867.38
  4. Step 4: Simplify right side
    13,650.22x = 185,812,679.86
  5. Step 5: Solve for x
    x = 185,812,679.86/13,650.22
  6. Step 6: Final answer
    x = 13,612.43

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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.