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Finding the Fourth Proportional to 3,272.70, 4,911.15 and 1,812.90

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Solution

The fourth proportional to 3,272.70, 4,911.15 and 1,812.90 is: 2,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.70 : 4,911.15 = 1,812.90 : x
  2. Step 2: Convert to fraction form
    3,272.70/4,911.15 = 1,812.90/x
  3. Step 3: Cross multiply
    3,272.70x = 4,911.15 × 1,812.90
  4. Step 4: Simplify right side
    3,272.70x = 8,903,423.84
  5. Step 5: Solve for x
    x = 8,903,423.84/3,272.70
  6. Step 6: Final answer
    x = 2,720.51

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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.