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Finding the Fourth Proportional to 16,165, 22,308.08 and 9,880.84

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Solution

The fourth proportional to 16,165, 22,308.08 and 9,880.84 is: 13,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165 : 22,308.08 = 9,880.84 : x
  2. Step 2: Convert to fraction form
    16,165/22,308.08 = 9,880.84/x
  3. Step 3: Cross multiply
    16,165x = 22,308.08 × 9,880.84
  4. Step 4: Simplify right side
    16,165x = 220,422,569.19
  5. Step 5: Solve for x
    x = 220,422,569.19/16,165
  6. Step 6: Final answer
    x = 13,635.79

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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.