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Finding the Fourth Proportional to 3,603.91, 5,405.40 and 1,138.98

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Solution

The fourth proportional to 3,603.91, 5,405.40 and 1,138.98 is: 1,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.91 : 5,405.40 = 1,138.98 : x
  2. Step 2: Convert to fraction form
    3,603.91/5,405.40 = 1,138.98/x
  3. Step 3: Cross multiply
    3,603.91x = 5,405.40 × 1,138.98
  4. Step 4: Simplify right side
    3,603.91x = 6,156,632.36
  5. Step 5: Solve for x
    x = 6,156,632.36/3,603.91
  6. Step 6: Final answer
    x = 1,708.32

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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.