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Finding the Fourth Proportional to 3,969.30, 5,954 and 1,505.28

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Solution

The fourth proportional to 3,969.30, 5,954 and 1,505.28 is: 2,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.30 : 5,954 = 1,505.28 : x
  2. Step 2: Convert to fraction form
    3,969.30/5,954 = 1,505.28/x
  3. Step 3: Cross multiply
    3,969.30x = 5,954 × 1,505.28
  4. Step 4: Simplify right side
    3,969.30x = 8,962,437.12
  5. Step 5: Solve for x
    x = 8,962,437.12/3,969.30
  6. Step 6: Final answer
    x = 2,257.94

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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.