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Finding the Fourth Proportional to 2,083.68, 3,123.60 and 784.26

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Solution

The fourth proportional to 2,083.68, 3,123.60 and 784.26 is: 1,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.68 : 3,123.60 = 784.26 : x
  2. Step 2: Convert to fraction form
    2,083.68/3,123.60 = 784.26/x
  3. Step 3: Cross multiply
    2,083.68x = 3,123.60 × 784.26
  4. Step 4: Simplify right side
    2,083.68x = 2,449,714.54
  5. Step 5: Solve for x
    x = 2,449,714.54/2,083.68
  6. Step 6: Final answer
    x = 1,175.67

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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.