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Finding the Fourth Proportional to 11,620.14, 17,429.97 and 7,873.68

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Solution

The fourth proportional to 11,620.14, 17,429.97 and 7,873.68 is: 11,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.14 : 17,429.97 = 7,873.68 : x
  2. Step 2: Convert to fraction form
    11,620.14/17,429.97 = 7,873.68/x
  3. Step 3: Cross multiply
    11,620.14x = 17,429.97 × 7,873.68
  4. Step 4: Simplify right side
    11,620.14x = 137,238,006.19
  5. Step 5: Solve for x
    x = 137,238,006.19/11,620.14
  6. Step 6: Final answer
    x = 11,810.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.