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Finding the Fourth Proportional to 12,174.54, 16,801.11 and 7,142.64

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Solution

The fourth proportional to 12,174.54, 16,801.11 and 7,142.64 is: 9,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.54 : 16,801.11 = 7,142.64 : x
  2. Step 2: Convert to fraction form
    12,174.54/16,801.11 = 7,142.64/x
  3. Step 3: Cross multiply
    12,174.54x = 16,801.11 × 7,142.64
  4. Step 4: Simplify right side
    12,174.54x = 120,004,280.33
  5. Step 5: Solve for x
    x = 120,004,280.33/12,174.54
  6. Step 6: Final answer
    x = 9,856.99

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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.