Home / 2,206.46-3,310.13-646.47

Finding the Fourth Proportional to 2,206.46, 3,310.13 and 646.47

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Solution

The fourth proportional to 2,206.46, 3,310.13 and 646.47 is: 969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.46 : 3,310.13 = 646.47 : x
  2. Step 2: Convert to fraction form
    2,206.46/3,310.13 = 646.47/x
  3. Step 3: Cross multiply
    2,206.46x = 3,310.13 × 646.47
  4. Step 4: Simplify right side
    2,206.46x = 2,139,901.36
  5. Step 5: Solve for x
    x = 2,139,901.36/2,206.46
  6. Step 6: Final answer
    x = 969.83

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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.