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Finding the Fourth Proportional to 3,642.70, 5,464.05 and 3,037.90

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Solution

The fourth proportional to 3,642.70, 5,464.05 and 3,037.90 is: 4,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.70 : 5,464.05 = 3,037.90 : x
  2. Step 2: Convert to fraction form
    3,642.70/5,464.05 = 3,037.90/x
  3. Step 3: Cross multiply
    3,642.70x = 5,464.05 × 3,037.90
  4. Step 4: Simplify right side
    3,642.70x = 16,599,237.50
  5. Step 5: Solve for x
    x = 16,599,237.50/3,642.70
  6. Step 6: Final answer
    x = 4,556.85

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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.