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Finding the Fourth Proportional to 3,031.06, 4,546.23 and 839.56

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Solution

The fourth proportional to 3,031.06, 4,546.23 and 839.56 is: 1,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.06 : 4,546.23 = 839.56 : x
  2. Step 2: Convert to fraction form
    3,031.06/4,546.23 = 839.56/x
  3. Step 3: Cross multiply
    3,031.06x = 4,546.23 × 839.56
  4. Step 4: Simplify right side
    3,031.06x = 3,816,832.86
  5. Step 5: Solve for x
    x = 3,816,832.86/3,031.06
  6. Step 6: Final answer
    x = 1,259.24

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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.