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Finding the Fourth Proportional to 3,031.09, 4,546.12 and 839.31

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Solution

The fourth proportional to 3,031.09, 4,546.12 and 839.31 is: 1,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.09 : 4,546.12 = 839.31 : x
  2. Step 2: Convert to fraction form
    3,031.09/4,546.12 = 839.31/x
  3. Step 3: Cross multiply
    3,031.09x = 4,546.12 × 839.31
  4. Step 4: Simplify right side
    3,031.09x = 3,815,580.20
  5. Step 5: Solve for x
    x = 3,815,580.20/3,031.09
  6. Step 6: Final answer
    x = 1,258.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.