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Finding the Fourth Proportional to 2,083.92, 3,124.56 and 783.84

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Solution

The fourth proportional to 2,083.92, 3,124.56 and 783.84 is: 1,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.92 : 3,124.56 = 783.84 : x
  2. Step 2: Convert to fraction form
    2,083.92/3,124.56 = 783.84/x
  3. Step 3: Cross multiply
    2,083.92x = 3,124.56 × 783.84
  4. Step 4: Simplify right side
    2,083.92x = 2,449,155.11
  5. Step 5: Solve for x
    x = 2,449,155.11/2,083.92
  6. Step 6: Final answer
    x = 1,175.26

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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.