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Finding the Fourth Proportional to 3,419.82, 4,719.36 and 1,927.74

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Solution

The fourth proportional to 3,419.82, 4,719.36 and 1,927.74 is: 2,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.82 : 4,719.36 = 1,927.74 : x
  2. Step 2: Convert to fraction form
    3,419.82/4,719.36 = 1,927.74/x
  3. Step 3: Cross multiply
    3,419.82x = 4,719.36 × 1,927.74
  4. Step 4: Simplify right side
    3,419.82x = 9,097,699.05
  5. Step 5: Solve for x
    x = 9,097,699.05/3,419.82
  6. Step 6: Final answer
    x = 2,660.29

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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.