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Finding the Fourth Proportional to 2,907.50, 4,361.11 and 933.05

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Solution

The fourth proportional to 2,907.50, 4,361.11 and 933.05 is: 1,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.50 : 4,361.11 = 933.05 : x
  2. Step 2: Convert to fraction form
    2,907.50/4,361.11 = 933.05/x
  3. Step 3: Cross multiply
    2,907.50x = 4,361.11 × 933.05
  4. Step 4: Simplify right side
    2,907.50x = 4,069,142.26
  5. Step 5: Solve for x
    x = 4,069,142.26/2,907.50
  6. Step 6: Final answer
    x = 1,399.54

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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.