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Finding the Fourth Proportional to 3,603.46, 5,404.72 and 1,138.53

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Solution

The fourth proportional to 3,603.46, 5,404.72 and 1,138.53 is: 1,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.46 : 5,404.72 = 1,138.53 : x
  2. Step 2: Convert to fraction form
    3,603.46/5,404.72 = 1,138.53/x
  3. Step 3: Cross multiply
    3,603.46x = 5,404.72 × 1,138.53
  4. Step 4: Simplify right side
    3,603.46x = 6,153,435.86
  5. Step 5: Solve for x
    x = 6,153,435.86/3,603.46
  6. Step 6: Final answer
    x = 1,707.65

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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.