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Finding the Fourth Proportional to 3,640.56, 5,460.72 and 1,448.04

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Solution

The fourth proportional to 3,640.56, 5,460.72 and 1,448.04 is: 2,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.56 : 5,460.72 = 1,448.04 : x
  2. Step 2: Convert to fraction form
    3,640.56/5,460.72 = 1,448.04/x
  3. Step 3: Cross multiply
    3,640.56x = 5,460.72 × 1,448.04
  4. Step 4: Simplify right side
    3,640.56x = 7,907,340.99
  5. Step 5: Solve for x
    x = 7,907,340.99/3,640.56
  6. Step 6: Final answer
    x = 2,172.01

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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.