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Finding the Fourth Proportional to 2,499.50, 3,749.26 and 768.26

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Solution

The fourth proportional to 2,499.50, 3,749.26 and 768.26 is: 1,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.50 : 3,749.26 = 768.26 : x
  2. Step 2: Convert to fraction form
    2,499.50/3,749.26 = 768.26/x
  3. Step 3: Cross multiply
    2,499.50x = 3,749.26 × 768.26
  4. Step 4: Simplify right side
    2,499.50x = 2,880,406.49
  5. Step 5: Solve for x
    x = 2,880,406.49/2,499.50
  6. Step 6: Final answer
    x = 1,152.39

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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.