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Finding the Fourth Proportional to 3,679.20, 5,509.08 and 1,944.18

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Solution

The fourth proportional to 3,679.20, 5,509.08 and 1,944.18 is: 2,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.20 : 5,509.08 = 1,944.18 : x
  2. Step 2: Convert to fraction form
    3,679.20/5,509.08 = 1,944.18/x
  3. Step 3: Cross multiply
    3,679.20x = 5,509.08 × 1,944.18
  4. Step 4: Simplify right side
    3,679.20x = 10,710,643.15
  5. Step 5: Solve for x
    x = 10,710,643.15/3,679.20
  6. Step 6: Final answer
    x = 2,911.13

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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.