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Finding the Fourth Proportional to 3,735.90, 5,603.84 and 1,138.84

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Solution

The fourth proportional to 3,735.90, 5,603.84 and 1,138.84 is: 1,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.90 : 5,603.84 = 1,138.84 : x
  2. Step 2: Convert to fraction form
    3,735.90/5,603.84 = 1,138.84/x
  3. Step 3: Cross multiply
    3,735.90x = 5,603.84 × 1,138.84
  4. Step 4: Simplify right side
    3,735.90x = 6,381,846.28
  5. Step 5: Solve for x
    x = 6,381,846.28/3,735.90
  6. Step 6: Final answer
    x = 1,708.25

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1.5x scale

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.