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Finding the Fourth Proportional to 2,377.80, 3,584.50 and 2,219.24

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Solution

The fourth proportional to 2,377.80, 3,584.50 and 2,219.24 is: 3,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.80 : 3,584.50 = 2,219.24 : x
  2. Step 2: Convert to fraction form
    2,377.80/3,584.50 = 2,219.24/x
  3. Step 3: Cross multiply
    2,377.80x = 3,584.50 × 2,219.24
  4. Step 4: Simplify right side
    2,377.80x = 7,954,865.78
  5. Step 5: Solve for x
    x = 7,954,865.78/2,377.80
  6. Step 6: Final answer
    x = 3,345.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.