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Finding the Fourth Proportional to 2,034.02, 3,050.50 and 801.43

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Solution

The fourth proportional to 2,034.02, 3,050.50 and 801.43 is: 1,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.02 : 3,050.50 = 801.43 : x
  2. Step 2: Convert to fraction form
    2,034.02/3,050.50 = 801.43/x
  3. Step 3: Cross multiply
    2,034.02x = 3,050.50 × 801.43
  4. Step 4: Simplify right side
    2,034.02x = 2,444,762.22
  5. Step 5: Solve for x
    x = 2,444,762.22/2,034.02
  6. Step 6: Final answer
    x = 1,201.94

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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.