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Finding the Fourth Proportional to 12,174.64, 16,801.12 and 7,141.84

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Solution

The fourth proportional to 12,174.64, 16,801.12 and 7,141.84 is: 9,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.64 : 16,801.12 = 7,141.84 : x
  2. Step 2: Convert to fraction form
    12,174.64/16,801.12 = 7,141.84/x
  3. Step 3: Cross multiply
    12,174.64x = 16,801.12 × 7,141.84
  4. Step 4: Simplify right side
    12,174.64x = 119,990,910.86
  5. Step 5: Solve for x
    x = 119,990,910.86/12,174.64
  6. Step 6: Final answer
    x = 9,855.81

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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.