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Finding the Fourth Proportional to 2,649.84, 3,972.33 and 917.25

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Solution

The fourth proportional to 2,649.84, 3,972.33 and 917.25 is: 1,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.84 : 3,972.33 = 917.25 : x
  2. Step 2: Convert to fraction form
    2,649.84/3,972.33 = 917.25/x
  3. Step 3: Cross multiply
    2,649.84x = 3,972.33 × 917.25
  4. Step 4: Simplify right side
    2,649.84x = 3,643,619.69
  5. Step 5: Solve for x
    x = 3,643,619.69/2,649.84
  6. Step 6: Final answer
    x = 1,375.03

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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.