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Finding the Fourth Proportional to 2,419.54, 3,619.15 and 2,039.24

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Solution

The fourth proportional to 2,419.54, 3,619.15 and 2,039.24 is: 3,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.54 : 3,619.15 = 2,039.24 : x
  2. Step 2: Convert to fraction form
    2,419.54/3,619.15 = 2,039.24/x
  3. Step 3: Cross multiply
    2,419.54x = 3,619.15 × 2,039.24
  4. Step 4: Simplify right side
    2,419.54x = 7,380,319.40
  5. Step 5: Solve for x
    x = 7,380,319.40/2,419.54
  6. Step 6: Final answer
    x = 3,050.30

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Why These Related Problems?

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