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Finding the Fourth Proportional to 12,187.81, 16,819.49 and 7,474.69

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Solution

The fourth proportional to 12,187.81, 16,819.49 and 7,474.69 is: 10,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.81 : 16,819.49 = 7,474.69 : x
  2. Step 2: Convert to fraction form
    12,187.81/16,819.49 = 7,474.69/x
  3. Step 3: Cross multiply
    12,187.81x = 16,819.49 × 7,474.69
  4. Step 4: Simplify right side
    12,187.81x = 125,720,473.71
  5. Step 5: Solve for x
    x = 125,720,473.71/12,187.81
  6. Step 6: Final answer
    x = 10,315.26

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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.