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Finding the Fourth Proportional to 7,786.60, 11,681.87 and 2,239.82

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Solution

The fourth proportional to 7,786.60, 11,681.87 and 2,239.82 is: 3,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.60 : 11,681.87 = 2,239.82 : x
  2. Step 2: Convert to fraction form
    7,786.60/11,681.87 = 2,239.82/x
  3. Step 3: Cross multiply
    7,786.60x = 11,681.87 × 2,239.82
  4. Step 4: Simplify right side
    7,786.60x = 26,165,274.86
  5. Step 5: Solve for x
    x = 26,165,274.86/7,786.60
  6. Step 6: Final answer
    x = 3,360.30

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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.