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Finding the Fourth Proportional to 2,812.55, 4,216.07 and 1,836.61

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Solution

The fourth proportional to 2,812.55, 4,216.07 and 1,836.61 is: 2,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.55 : 4,216.07 = 1,836.61 : x
  2. Step 2: Convert to fraction form
    2,812.55/4,216.07 = 1,836.61/x
  3. Step 3: Cross multiply
    2,812.55x = 4,216.07 × 1,836.61
  4. Step 4: Simplify right side
    2,812.55x = 7,743,270.37
  5. Step 5: Solve for x
    x = 7,743,270.37/2,812.55
  6. Step 6: Final answer
    x = 2,753.12

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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.