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Finding the Fourth Proportional to 3,129.68, 4,689.24 and 1,893.33

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Solution

The fourth proportional to 3,129.68, 4,689.24 and 1,893.33 is: 2,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.68 : 4,689.24 = 1,893.33 : x
  2. Step 2: Convert to fraction form
    3,129.68/4,689.24 = 1,893.33/x
  3. Step 3: Cross multiply
    3,129.68x = 4,689.24 × 1,893.33
  4. Step 4: Simplify right side
    3,129.68x = 8,878,278.77
  5. Step 5: Solve for x
    x = 8,878,278.77/3,129.68
  6. Step 6: Final answer
    x = 2,836.81

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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.