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Finding the Fourth Proportional to 12,187.55, 16,818.83 and 6,882.71

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Solution

The fourth proportional to 12,187.55, 16,818.83 and 6,882.71 is: 9,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.55 : 16,818.83 = 6,882.71 : x
  2. Step 2: Convert to fraction form
    12,187.55/16,818.83 = 6,882.71/x
  3. Step 3: Cross multiply
    12,187.55x = 16,818.83 × 6,882.71
  4. Step 4: Simplify right side
    12,187.55x = 115,759,129.43
  5. Step 5: Solve for x
    x = 115,759,129.43/12,187.55
  6. Step 6: Final answer
    x = 9,498.15

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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.