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Finding the Fourth Proportional to 16,608.40, 22,909.11 and 9,889

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Solution

The fourth proportional to 16,608.40, 22,909.11 and 9,889 is: 13,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,608.40 : 22,909.11 = 9,889 : x
  2. Step 2: Convert to fraction form
    16,608.40/22,909.11 = 9,889/x
  3. Step 3: Cross multiply
    16,608.40x = 22,909.11 × 9,889
  4. Step 4: Simplify right side
    16,608.40x = 226,548,188.79
  5. Step 5: Solve for x
    x = 226,548,188.79/16,608.40
  6. Step 6: Final answer
    x = 13,640.58

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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.