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Finding the Fourth Proportional to 2,055.68, 3,083.56 and 669.02

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Solution

The fourth proportional to 2,055.68, 3,083.56 and 669.02 is: 1,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.68 : 3,083.56 = 669.02 : x
  2. Step 2: Convert to fraction form
    2,055.68/3,083.56 = 669.02/x
  3. Step 3: Cross multiply
    2,055.68x = 3,083.56 × 669.02
  4. Step 4: Simplify right side
    2,055.68x = 2,062,963.31
  5. Step 5: Solve for x
    x = 2,062,963.31/2,055.68
  6. Step 6: Final answer
    x = 1,003.54

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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.