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Finding the Fourth Proportional to 7,825.50, 10,799.19 and 4,288.85

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Solution

The fourth proportional to 7,825.50, 10,799.19 and 4,288.85 is: 5,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.50 : 10,799.19 = 4,288.85 : x
  2. Step 2: Convert to fraction form
    7,825.50/10,799.19 = 4,288.85/x
  3. Step 3: Cross multiply
    7,825.50x = 10,799.19 × 4,288.85
  4. Step 4: Simplify right side
    7,825.50x = 46,316,106.03
  5. Step 5: Solve for x
    x = 46,316,106.03/7,825.50
  6. Step 6: Final answer
    x = 5,918.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.