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Finding the Fourth Proportional to 3,745.13, 5,613.21 and 1,662.78

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Solution

The fourth proportional to 3,745.13, 5,613.21 and 1,662.78 is: 2,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.13 : 5,613.21 = 1,662.78 : x
  2. Step 2: Convert to fraction form
    3,745.13/5,613.21 = 1,662.78/x
  3. Step 3: Cross multiply
    3,745.13x = 5,613.21 × 1,662.78
  4. Step 4: Simplify right side
    3,745.13x = 9,333,533.32
  5. Step 5: Solve for x
    x = 9,333,533.32/3,745.13
  6. Step 6: Final answer
    x = 2,492.18

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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.