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Finding the Fourth Proportional to 2,364.20, 3,546.03 and 804.15

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Solution

The fourth proportional to 2,364.20, 3,546.03 and 804.15 is: 1,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.20 : 3,546.03 = 804.15 : x
  2. Step 2: Convert to fraction form
    2,364.20/3,546.03 = 804.15/x
  3. Step 3: Cross multiply
    2,364.20x = 3,546.03 × 804.15
  4. Step 4: Simplify right side
    2,364.20x = 2,851,540.02
  5. Step 5: Solve for x
    x = 2,851,540.02/2,364.20
  6. Step 6: Final answer
    x = 1,206.14

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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.