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Finding the Fourth Proportional to 4,907.72, 6,772.72 and 2,669.66

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Solution

The fourth proportional to 4,907.72, 6,772.72 and 2,669.66 is: 3,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.72 : 6,772.72 = 2,669.66 : x
  2. Step 2: Convert to fraction form
    4,907.72/6,772.72 = 2,669.66/x
  3. Step 3: Cross multiply
    4,907.72x = 6,772.72 × 2,669.66
  4. Step 4: Simplify right side
    4,907.72x = 18,080,859.68
  5. Step 5: Solve for x
    x = 18,080,859.68/4,907.72
  6. Step 6: Final answer
    x = 3,684.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.