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Finding the Fourth Proportional to 2,677.88, 3,696.87 and 1,669.89

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Solution

The fourth proportional to 2,677.88, 3,696.87 and 1,669.89 is: 2,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.88 : 3,696.87 = 1,669.89 : x
  2. Step 2: Convert to fraction form
    2,677.88/3,696.87 = 1,669.89/x
  3. Step 3: Cross multiply
    2,677.88x = 3,696.87 × 1,669.89
  4. Step 4: Simplify right side
    2,677.88x = 6,173,366.24
  5. Step 5: Solve for x
    x = 6,173,366.24/2,677.88
  6. Step 6: Final answer
    x = 2,305.32

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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.