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Finding the Fourth Proportional to 2,812.96, 4,220.64 and 2,168.96

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Solution

The fourth proportional to 2,812.96, 4,220.64 and 2,168.96 is: 3,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.96 : 4,220.64 = 2,168.96 : x
  2. Step 2: Convert to fraction form
    2,812.96/4,220.64 = 2,168.96/x
  3. Step 3: Cross multiply
    2,812.96x = 4,220.64 × 2,168.96
  4. Step 4: Simplify right side
    2,812.96x = 9,154,399.33
  5. Step 5: Solve for x
    x = 9,154,399.33/2,812.96
  6. Step 6: Final answer
    x = 3,254.37

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1.5x scale

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.