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Finding the Fourth Proportional to 2,812.65, 4,223.43 and 2,197.86

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Solution

The fourth proportional to 2,812.65, 4,223.43 and 2,197.86 is: 3,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.65 : 4,223.43 = 2,197.86 : x
  2. Step 2: Convert to fraction form
    2,812.65/4,223.43 = 2,197.86/x
  3. Step 3: Cross multiply
    2,812.65x = 4,223.43 × 2,197.86
  4. Step 4: Simplify right side
    2,812.65x = 9,282,507.86
  5. Step 5: Solve for x
    x = 9,282,507.86/2,812.65
  6. Step 6: Final answer
    x = 3,300.27

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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.