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Finding the Fourth Proportional to 7,606.91, 11,412.18 and 2,412.78

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Solution

The fourth proportional to 7,606.91, 11,412.18 and 2,412.78 is: 3,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.91 : 11,412.18 = 2,412.78 : x
  2. Step 2: Convert to fraction form
    7,606.91/11,412.18 = 2,412.78/x
  3. Step 3: Cross multiply
    7,606.91x = 11,412.18 × 2,412.78
  4. Step 4: Simplify right side
    7,606.91x = 27,535,079.66
  5. Step 5: Solve for x
    x = 27,535,079.66/7,606.91
  6. Step 6: Final answer
    x = 3,619.75

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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.