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Finding the Fourth Proportional to 12,187.72, 16,824.90 and 7,713.64

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Solution

The fourth proportional to 12,187.72, 16,824.90 and 7,713.64 is: 10,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.72 : 16,824.90 = 7,713.64 : x
  2. Step 2: Convert to fraction form
    12,187.72/16,824.90 = 7,713.64/x
  3. Step 3: Cross multiply
    12,187.72x = 16,824.90 × 7,713.64
  4. Step 4: Simplify right side
    12,187.72x = 129,781,221.64
  5. Step 5: Solve for x
    x = 129,781,221.64/12,187.72
  6. Step 6: Final answer
    x = 10,648.52

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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.