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Finding the Fourth Proportional to 3,669.60, 5,509.80 and 2,211.60

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Solution

The fourth proportional to 3,669.60, 5,509.80 and 2,211.60 is: 3,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.60 : 5,509.80 = 2,211.60 : x
  2. Step 2: Convert to fraction form
    3,669.60/5,509.80 = 2,211.60/x
  3. Step 3: Cross multiply
    3,669.60x = 5,509.80 × 2,211.60
  4. Step 4: Simplify right side
    3,669.60x = 12,185,473.68
  5. Step 5: Solve for x
    x = 12,185,473.68/3,669.60
  6. Step 6: Final answer
    x = 3,320.65

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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.