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Finding the Fourth Proportional to 2,669.82, 3,684.30 and 1,490.94

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Solution

The fourth proportional to 2,669.82, 3,684.30 and 1,490.94 is: 2,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.82 : 3,684.30 = 1,490.94 : x
  2. Step 2: Convert to fraction form
    2,669.82/3,684.30 = 1,490.94/x
  3. Step 3: Cross multiply
    2,669.82x = 3,684.30 × 1,490.94
  4. Step 4: Simplify right side
    2,669.82x = 5,493,070.24
  5. Step 5: Solve for x
    x = 5,493,070.24/2,669.82
  6. Step 6: Final answer
    x = 2,057.47

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