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Finding the Fourth Proportional to 2,762.09, 4,143.81 and 814.27

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Solution

The fourth proportional to 2,762.09, 4,143.81 and 814.27 is: 1,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.09 : 4,143.81 = 814.27 : x
  2. Step 2: Convert to fraction form
    2,762.09/4,143.81 = 814.27/x
  3. Step 3: Cross multiply
    2,762.09x = 4,143.81 × 814.27
  4. Step 4: Simplify right side
    2,762.09x = 3,374,180.17
  5. Step 5: Solve for x
    x = 3,374,180.17/2,762.09
  6. Step 6: Final answer
    x = 1,221.60

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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.