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Finding the Fourth Proportional to 12,187.72, 16,810.50 and 7,473.88

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Solution

The fourth proportional to 12,187.72, 16,810.50 and 7,473.88 is: 10,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.72 : 16,810.50 = 7,473.88 : x
  2. Step 2: Convert to fraction form
    12,187.72/16,810.50 = 7,473.88/x
  3. Step 3: Cross multiply
    12,187.72x = 16,810.50 × 7,473.88
  4. Step 4: Simplify right side
    12,187.72x = 125,639,659.74
  5. Step 5: Solve for x
    x = 125,639,659.74/12,187.72
  6. Step 6: Final answer
    x = 10,308.71

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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.