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Finding the Fourth Proportional to 2,649.81, 3,976.54 and 918.44

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Solution

The fourth proportional to 2,649.81, 3,976.54 and 918.44 is: 1,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.81 : 3,976.54 = 918.44 : x
  2. Step 2: Convert to fraction form
    2,649.81/3,976.54 = 918.44/x
  3. Step 3: Cross multiply
    2,649.81x = 3,976.54 × 918.44
  4. Step 4: Simplify right side
    2,649.81x = 3,652,213.40
  5. Step 5: Solve for x
    x = 3,652,213.40/2,649.81
  6. Step 6: Final answer
    x = 1,378.29

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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.