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Finding the Fourth Proportional to 12,107.64, 16,701.87 and 7,629.57

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Solution

The fourth proportional to 12,107.64, 16,701.87 and 7,629.57 is: 10,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.64 : 16,701.87 = 7,629.57 : x
  2. Step 2: Convert to fraction form
    12,107.64/16,701.87 = 7,629.57/x
  3. Step 3: Cross multiply
    12,107.64x = 16,701.87 × 7,629.57
  4. Step 4: Simplify right side
    12,107.64x = 127,428,086.30
  5. Step 5: Solve for x
    x = 127,428,086.30/12,107.64
  6. Step 6: Final answer
    x = 10,524.60

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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.