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Finding the Fourth Proportional to 2,762.63, 3,812.43 and 1,520.63

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Solution

The fourth proportional to 2,762.63, 3,812.43 and 1,520.63 is: 2,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.63 : 3,812.43 = 1,520.63 : x
  2. Step 2: Convert to fraction form
    2,762.63/3,812.43 = 1,520.63/x
  3. Step 3: Cross multiply
    2,762.63x = 3,812.43 × 1,520.63
  4. Step 4: Simplify right side
    2,762.63x = 5,797,276.37
  5. Step 5: Solve for x
    x = 5,797,276.37/2,762.63
  6. Step 6: Final answer
    x = 2,098.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.