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Finding the Fourth Proportional to 2,083.14, 3,124.14 and 783.72

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Solution

The fourth proportional to 2,083.14, 3,124.14 and 783.72 is: 1,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.14 : 3,124.14 = 783.72 : x
  2. Step 2: Convert to fraction form
    2,083.14/3,124.14 = 783.72/x
  3. Step 3: Cross multiply
    2,083.14x = 3,124.14 × 783.72
  4. Step 4: Simplify right side
    2,083.14x = 2,448,451.00
  5. Step 5: Solve for x
    x = 2,448,451.00/2,083.14
  6. Step 6: Final answer
    x = 1,175.37

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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.