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Finding the Fourth Proportional to 3,603.57, 5,405.21 and 1,138.53

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Solution

The fourth proportional to 3,603.57, 5,405.21 and 1,138.53 is: 1,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.57 : 5,405.21 = 1,138.53 : x
  2. Step 2: Convert to fraction form
    3,603.57/5,405.21 = 1,138.53/x
  3. Step 3: Cross multiply
    3,603.57x = 5,405.21 × 1,138.53
  4. Step 4: Simplify right side
    3,603.57x = 6,153,993.74
  5. Step 5: Solve for x
    x = 6,153,993.74/3,603.57
  6. Step 6: Final answer
    x = 1,707.75

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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.