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Finding the Fourth Proportional to 3,388, 4,675.72 and 1,896.26

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Solution

The fourth proportional to 3,388, 4,675.72 and 1,896.26 is: 2,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388 : 4,675.72 = 1,896.26 : x
  2. Step 2: Convert to fraction form
    3,388/4,675.72 = 1,896.26/x
  3. Step 3: Cross multiply
    3,388x = 4,675.72 × 1,896.26
  4. Step 4: Simplify right side
    3,388x = 8,866,380.81
  5. Step 5: Solve for x
    x = 8,866,380.81/3,388
  6. Step 6: Final answer
    x = 2,617.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.