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Finding the Fourth Proportional to 2,219.14, 3,328.55 and 759.32

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Solution

The fourth proportional to 2,219.14, 3,328.55 and 759.32 is: 1,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.14 : 3,328.55 = 759.32 : x
  2. Step 2: Convert to fraction form
    2,219.14/3,328.55 = 759.32/x
  3. Step 3: Cross multiply
    2,219.14x = 3,328.55 × 759.32
  4. Step 4: Simplify right side
    2,219.14x = 2,527,434.59
  5. Step 5: Solve for x
    x = 2,527,434.59/2,219.14
  6. Step 6: Final answer
    x = 1,138.93

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1.5x scale

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.