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Finding the Fourth Proportional to 7,841.52, 11,762.28 and 3,161.88

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Solution

The fourth proportional to 7,841.52, 11,762.28 and 3,161.88 is: 4,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.52 : 11,762.28 = 3,161.88 : x
  2. Step 2: Convert to fraction form
    7,841.52/11,762.28 = 3,161.88/x
  3. Step 3: Cross multiply
    7,841.52x = 11,762.28 × 3,161.88
  4. Step 4: Simplify right side
    7,841.52x = 37,190,917.89
  5. Step 5: Solve for x
    x = 37,190,917.89/7,841.52
  6. Step 6: Final answer
    x = 4,742.82

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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.