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Finding the Fourth Proportional to 2,506.28, 3,759.90 and 774.50

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Solution

The fourth proportional to 2,506.28, 3,759.90 and 774.50 is: 1,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.28 : 3,759.90 = 774.50 : x
  2. Step 2: Convert to fraction form
    2,506.28/3,759.90 = 774.50/x
  3. Step 3: Cross multiply
    2,506.28x = 3,759.90 × 774.50
  4. Step 4: Simplify right side
    2,506.28x = 2,912,038.68
  5. Step 5: Solve for x
    x = 2,912,038.68/2,506.28
  6. Step 6: Final answer
    x = 1,161.90

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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.