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Finding the Fourth Proportional to 3,773.72, 5,206.08 and 2,200.88

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Solution

The fourth proportional to 3,773.72, 5,206.08 and 2,200.88 is: 3,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.72 : 5,206.08 = 2,200.88 : x
  2. Step 2: Convert to fraction form
    3,773.72/5,206.08 = 2,200.88/x
  3. Step 3: Cross multiply
    3,773.72x = 5,206.08 × 2,200.88
  4. Step 4: Simplify right side
    3,773.72x = 11,457,957.35
  5. Step 5: Solve for x
    x = 11,457,957.35/3,773.72
  6. Step 6: Final answer
    x = 3,036.25

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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.