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Finding the Fourth Proportional to 3,603.89, 5,406.14 and 1,138.66

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Solution

The fourth proportional to 3,603.89, 5,406.14 and 1,138.66 is: 1,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.89 : 5,406.14 = 1,138.66 : x
  2. Step 2: Convert to fraction form
    3,603.89/5,406.14 = 1,138.66/x
  3. Step 3: Cross multiply
    3,603.89x = 5,406.14 × 1,138.66
  4. Step 4: Simplify right side
    3,603.89x = 6,155,744.70
  5. Step 5: Solve for x
    x = 6,155,744.70/3,603.89
  6. Step 6: Final answer
    x = 1,708.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.