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Finding the Fourth Proportional to 12,137.34, 16,750.22 and 8,097.20

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Solution

The fourth proportional to 12,137.34, 16,750.22 and 8,097.20 is: 11,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.34 : 16,750.22 = 8,097.20 : x
  2. Step 2: Convert to fraction form
    12,137.34/16,750.22 = 8,097.20/x
  3. Step 3: Cross multiply
    12,137.34x = 16,750.22 × 8,097.20
  4. Step 4: Simplify right side
    12,137.34x = 135,629,881.38
  5. Step 5: Solve for x
    x = 135,629,881.38/12,137.34
  6. Step 6: Final answer
    x = 11,174.60

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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.