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Finding the Fourth Proportional to 2,761.77, 3,810.65 and 1,566.64

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Solution

The fourth proportional to 2,761.77, 3,810.65 and 1,566.64 is: 2,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.77 : 3,810.65 = 1,566.64 : x
  2. Step 2: Convert to fraction form
    2,761.77/3,810.65 = 1,566.64/x
  3. Step 3: Cross multiply
    2,761.77x = 3,810.65 × 1,566.64
  4. Step 4: Simplify right side
    2,761.77x = 5,969,913.65
  5. Step 5: Solve for x
    x = 5,969,913.65/2,761.77
  6. Step 6: Final answer
    x = 2,161.63

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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.