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Finding the Fourth Proportional to 2,696.43, 3,719.80 and 1,577.41

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Solution

The fourth proportional to 2,696.43, 3,719.80 and 1,577.41 is: 2,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.43 : 3,719.80 = 1,577.41 : x
  2. Step 2: Convert to fraction form
    2,696.43/3,719.80 = 1,577.41/x
  3. Step 3: Cross multiply
    2,696.43x = 3,719.80 × 1,577.41
  4. Step 4: Simplify right side
    2,696.43x = 5,867,649.72
  5. Step 5: Solve for x
    x = 5,867,649.72/2,696.43
  6. Step 6: Final answer
    x = 2,176.08

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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.