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Finding the Fourth Proportional to 12,175.12, 16,801.28 and 6,869.86

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Solution

The fourth proportional to 12,175.12, 16,801.28 and 6,869.86 is: 9,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.12 : 16,801.28 = 6,869.86 : x
  2. Step 2: Convert to fraction form
    12,175.12/16,801.28 = 6,869.86/x
  3. Step 3: Cross multiply
    12,175.12x = 16,801.28 × 6,869.86
  4. Step 4: Simplify right side
    12,175.12x = 115,422,441.42
  5. Step 5: Solve for x
    x = 115,422,441.42/12,175.12
  6. Step 6: Final answer
    x = 9,480.19

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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.