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Finding the Fourth Proportional to 2,081.87, 3,123.26 and 783.35

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Solution

The fourth proportional to 2,081.87, 3,123.26 and 783.35 is: 1,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.87 : 3,123.26 = 783.35 : x
  2. Step 2: Convert to fraction form
    2,081.87/3,123.26 = 783.35/x
  3. Step 3: Cross multiply
    2,081.87x = 3,123.26 × 783.35
  4. Step 4: Simplify right side
    2,081.87x = 2,446,586.19
  5. Step 5: Solve for x
    x = 2,446,586.19/2,081.87
  6. Step 6: Final answer
    x = 1,175.19

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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.