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Finding the Fourth Proportional to 16,609.40, 22,910.48 and 9,890

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Solution

The fourth proportional to 16,609.40, 22,910.48 and 9,890 is: 13,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.40 : 22,910.48 = 9,890 : x
  2. Step 2: Convert to fraction form
    16,609.40/22,910.48 = 9,890/x
  3. Step 3: Cross multiply
    16,609.40x = 22,910.48 × 9,890
  4. Step 4: Simplify right side
    16,609.40x = 226,584,647.20
  5. Step 5: Solve for x
    x = 226,584,647.20/16,609.40
  6. Step 6: Final answer
    x = 13,641.95

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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.