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Finding the Fourth Proportional to 7,765.12, 11,649 and 2,841.64

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Solution

The fourth proportional to 7,765.12, 11,649 and 2,841.64 is: 4,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.12 : 11,649 = 2,841.64 : x
  2. Step 2: Convert to fraction form
    7,765.12/11,649 = 2,841.64/x
  3. Step 3: Cross multiply
    7,765.12x = 11,649 × 2,841.64
  4. Step 4: Simplify right side
    7,765.12x = 33,102,264.36
  5. Step 5: Solve for x
    x = 33,102,264.36/7,765.12
  6. Step 6: Final answer
    x = 4,262.94

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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.