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Finding the Fourth Proportional to 2,907.50, 4,361.20 and 716.23

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Solution

The fourth proportional to 2,907.50, 4,361.20 and 716.23 is: 1,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.50 : 4,361.20 = 716.23 : x
  2. Step 2: Convert to fraction form
    2,907.50/4,361.20 = 716.23/x
  3. Step 3: Cross multiply
    2,907.50x = 4,361.20 × 716.23
  4. Step 4: Simplify right side
    2,907.50x = 3,123,624.84
  5. Step 5: Solve for x
    x = 3,123,624.84/2,907.50
  6. Step 6: Final answer
    x = 1,074.34

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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.