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Finding the Fourth Proportional to 2,083.63, 3,123.44 and 696.20

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Solution

The fourth proportional to 2,083.63, 3,123.44 and 696.20 is: 1,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.63 : 3,123.44 = 696.20 : x
  2. Step 2: Convert to fraction form
    2,083.63/3,123.44 = 696.20/x
  3. Step 3: Cross multiply
    2,083.63x = 3,123.44 × 696.20
  4. Step 4: Simplify right side
    2,083.63x = 2,174,521.58
  5. Step 5: Solve for x
    x = 2,174,521.58/2,083.63
  6. Step 6: Final answer
    x = 1,043.62

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1.5x scale

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.