Home / 3,031.10-4,546.61-809.93

Finding the Fourth Proportional to 3,031.10, 4,546.61 and 809.93

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Solution

The fourth proportional to 3,031.10, 4,546.61 and 809.93 is: 1,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.10 : 4,546.61 = 809.93 : x
  2. Step 2: Convert to fraction form
    3,031.10/4,546.61 = 809.93/x
  3. Step 3: Cross multiply
    3,031.10x = 4,546.61 × 809.93
  4. Step 4: Simplify right side
    3,031.10x = 3,682,409.05
  5. Step 5: Solve for x
    x = 3,682,409.05/3,031.10
  6. Step 6: Final answer
    x = 1,214.88

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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.