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Finding the Fourth Proportional to 2,907.89, 4,361.37 and 1,264

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Solution

The fourth proportional to 2,907.89, 4,361.37 and 1,264 is: 1,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.89 : 4,361.37 = 1,264 : x
  2. Step 2: Convert to fraction form
    2,907.89/4,361.37 = 1,264/x
  3. Step 3: Cross multiply
    2,907.89x = 4,361.37 × 1,264
  4. Step 4: Simplify right side
    2,907.89x = 5,512,771.68
  5. Step 5: Solve for x
    x = 5,512,771.68/2,907.89
  6. Step 6: Final answer
    x = 1,895.80

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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.