Home / 2,116.22-3,171.06-946.04

Finding the Fourth Proportional to 2,116.22, 3,171.06 and 946.04

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Solution

The fourth proportional to 2,116.22, 3,171.06 and 946.04 is: 1,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.22 : 3,171.06 = 946.04 : x
  2. Step 2: Convert to fraction form
    2,116.22/3,171.06 = 946.04/x
  3. Step 3: Cross multiply
    2,116.22x = 3,171.06 × 946.04
  4. Step 4: Simplify right side
    2,116.22x = 2,999,949.60
  5. Step 5: Solve for x
    x = 2,999,949.60/2,116.22
  6. Step 6: Final answer
    x = 1,417.60

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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.