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Finding the Fourth Proportional to 11,866.68, 17,799.84 and 3,102.12

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Solution

The fourth proportional to 11,866.68, 17,799.84 and 3,102.12 is: 4,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.68 : 17,799.84 = 3,102.12 : x
  2. Step 2: Convert to fraction form
    11,866.68/17,799.84 = 3,102.12/x
  3. Step 3: Cross multiply
    11,866.68x = 17,799.84 × 3,102.12
  4. Step 4: Simplify right side
    11,866.68x = 55,217,239.66
  5. Step 5: Solve for x
    x = 55,217,239.66/11,866.68
  6. Step 6: Final answer
    x = 4,653.13

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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.