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Finding the Fourth Proportional to 3,662.10, 5,489.55 and 1,811.70

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Solution

The fourth proportional to 3,662.10, 5,489.55 and 1,811.70 is: 2,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.10 : 5,489.55 = 1,811.70 : x
  2. Step 2: Convert to fraction form
    3,662.10/5,489.55 = 1,811.70/x
  3. Step 3: Cross multiply
    3,662.10x = 5,489.55 × 1,811.70
  4. Step 4: Simplify right side
    3,662.10x = 9,945,417.74
  5. Step 5: Solve for x
    x = 9,945,417.74/3,662.10
  6. Step 6: Final answer
    x = 2,715.77

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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.