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Finding the Fourth Proportional to 3,626.77, 5,440.10 and 1,435.47

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Solution

The fourth proportional to 3,626.77, 5,440.10 and 1,435.47 is: 2,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.77 : 5,440.10 = 1,435.47 : x
  2. Step 2: Convert to fraction form
    3,626.77/5,440.10 = 1,435.47/x
  3. Step 3: Cross multiply
    3,626.77x = 5,440.10 × 1,435.47
  4. Step 4: Simplify right side
    3,626.77x = 7,809,100.35
  5. Step 5: Solve for x
    x = 7,809,100.35/3,626.77
  6. Step 6: Final answer
    x = 2,153.18

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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.