Home / 2,106.91-3,160.27-646.17

Finding the Fourth Proportional to 2,106.91, 3,160.27 and 646.17

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Solution

The fourth proportional to 2,106.91, 3,160.27 and 646.17 is: 969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.91 : 3,160.27 = 646.17 : x
  2. Step 2: Convert to fraction form
    2,106.91/3,160.27 = 646.17/x
  3. Step 3: Cross multiply
    2,106.91x = 3,160.27 × 646.17
  4. Step 4: Simplify right side
    2,106.91x = 2,042,071.67
  5. Step 5: Solve for x
    x = 2,042,071.67/2,106.91
  6. Step 6: Final answer
    x = 969.23

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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.