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Finding the Fourth Proportional to 7,786.88, 11,681.60 and 3,680.64

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Solution

The fourth proportional to 7,786.88, 11,681.60 and 3,680.64 is: 5,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.88 : 11,681.60 = 3,680.64 : x
  2. Step 2: Convert to fraction form
    7,786.88/11,681.60 = 3,680.64/x
  3. Step 3: Cross multiply
    7,786.88x = 11,681.60 × 3,680.64
  4. Step 4: Simplify right side
    7,786.88x = 42,995,764.22
  5. Step 5: Solve for x
    x = 42,995,764.22/7,786.88
  6. Step 6: Final answer
    x = 5,521.57

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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.