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Finding the Fourth Proportional to 2,084.26, 3,125.34 and 784.82

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Solution

The fourth proportional to 2,084.26, 3,125.34 and 784.82 is: 1,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.26 : 3,125.34 = 784.82 : x
  2. Step 2: Convert to fraction form
    2,084.26/3,125.34 = 784.82/x
  3. Step 3: Cross multiply
    2,084.26x = 3,125.34 × 784.82
  4. Step 4: Simplify right side
    2,084.26x = 2,452,829.34
  5. Step 5: Solve for x
    x = 2,452,829.34/2,084.26
  6. Step 6: Final answer
    x = 1,176.83

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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.