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Finding the Fourth Proportional to 16,234.60, 22,403.78 and 9,161.68

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Solution

The fourth proportional to 16,234.60, 22,403.78 and 9,161.68 is: 12,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.60 : 22,403.78 = 9,161.68 : x
  2. Step 2: Convert to fraction form
    16,234.60/22,403.78 = 9,161.68/x
  3. Step 3: Cross multiply
    16,234.60x = 22,403.78 × 9,161.68
  4. Step 4: Simplify right side
    16,234.60x = 205,256,263.15
  5. Step 5: Solve for x
    x = 205,256,263.15/16,234.60
  6. Step 6: Final answer
    x = 12,643.14

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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.