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Finding the Fourth Proportional to 2,354.83, 3,532.42 and 794.83

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Solution

The fourth proportional to 2,354.83, 3,532.42 and 794.83 is: 1,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.83 : 3,532.42 = 794.83 : x
  2. Step 2: Convert to fraction form
    2,354.83/3,532.42 = 794.83/x
  3. Step 3: Cross multiply
    2,354.83x = 3,532.42 × 794.83
  4. Step 4: Simplify right side
    2,354.83x = 2,807,673.39
  5. Step 5: Solve for x
    x = 2,807,673.39/2,354.83
  6. Step 6: Final answer
    x = 1,192.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.