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Finding the Fourth Proportional to 7,867.84, 11,791.76 and 3,698.68

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Solution

The fourth proportional to 7,867.84, 11,791.76 and 3,698.68 is: 5,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.84 : 11,791.76 = 3,698.68 : x
  2. Step 2: Convert to fraction form
    7,867.84/11,791.76 = 3,698.68/x
  3. Step 3: Cross multiply
    7,867.84x = 11,791.76 × 3,698.68
  4. Step 4: Simplify right side
    7,867.84x = 43,613,946.88
  5. Step 5: Solve for x
    x = 43,613,946.88/7,867.84
  6. Step 6: Final answer
    x = 5,543.32

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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.