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Finding the Fourth Proportional to 3,968.83, 5,477.30 and 2,200.78

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Solution

The fourth proportional to 3,968.83, 5,477.30 and 2,200.78 is: 3,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.83 : 5,477.30 = 2,200.78 : x
  2. Step 2: Convert to fraction form
    3,968.83/5,477.30 = 2,200.78/x
  3. Step 3: Cross multiply
    3,968.83x = 5,477.30 × 2,200.78
  4. Step 4: Simplify right side
    3,968.83x = 12,054,321.29
  5. Step 5: Solve for x
    x = 12,054,321.29/3,968.83
  6. Step 6: Final answer
    x = 3,037.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.