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Finding the Fourth Proportional to 3,602.14, 5,403.78 and 1,846.19

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Solution

The fourth proportional to 3,602.14, 5,403.78 and 1,846.19 is: 2,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.14 : 5,403.78 = 1,846.19 : x
  2. Step 2: Convert to fraction form
    3,602.14/5,403.78 = 1,846.19/x
  3. Step 3: Cross multiply
    3,602.14x = 5,403.78 × 1,846.19
  4. Step 4: Simplify right side
    3,602.14x = 9,976,418.11
  5. Step 5: Solve for x
    x = 9,976,418.11/3,602.14
  6. Step 6: Final answer
    x = 2,769.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.