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Finding the Fourth Proportional to 2,762.37, 4,142.43 and 1,375.20

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Solution

The fourth proportional to 2,762.37, 4,142.43 and 1,375.20 is: 2,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.37 : 4,142.43 = 1,375.20 : x
  2. Step 2: Convert to fraction form
    2,762.37/4,142.43 = 1,375.20/x
  3. Step 3: Cross multiply
    2,762.37x = 4,142.43 × 1,375.20
  4. Step 4: Simplify right side
    2,762.37x = 5,696,669.74
  5. Step 5: Solve for x
    x = 5,696,669.74/2,762.37
  6. Step 6: Final answer
    x = 2,062.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.