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Finding the Fourth Proportional to 3,049.47, 4,208.04 and 1,790.57

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Solution

The fourth proportional to 3,049.47, 4,208.04 and 1,790.57 is: 2,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.47 : 4,208.04 = 1,790.57 : x
  2. Step 2: Convert to fraction form
    3,049.47/4,208.04 = 1,790.57/x
  3. Step 3: Cross multiply
    3,049.47x = 4,208.04 × 1,790.57
  4. Step 4: Simplify right side
    3,049.47x = 7,534,769.14
  5. Step 5: Solve for x
    x = 7,534,769.14/3,049.47
  6. Step 6: Final answer
    x = 2,470.85

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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.