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Finding the Fourth Proportional to 16,172.60, 22,317.95 and 9,099

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Solution

The fourth proportional to 16,172.60, 22,317.95 and 9,099 is: 12,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.60 : 22,317.95 = 9,099 : x
  2. Step 2: Convert to fraction form
    16,172.60/22,317.95 = 9,099/x
  3. Step 3: Cross multiply
    16,172.60x = 22,317.95 × 9,099
  4. Step 4: Simplify right side
    16,172.60x = 203,071,049.80
  5. Step 5: Solve for x
    x = 203,071,049.80/16,172.60
  6. Step 6: Final answer
    x = 12,556.49

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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.