Home / 2,116.75-3,175.06-946.45

Finding the Fourth Proportional to 2,116.75, 3,175.06 and 946.45

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Solution

The fourth proportional to 2,116.75, 3,175.06 and 946.45 is: 1,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.75 : 3,175.06 = 946.45 : x
  2. Step 2: Convert to fraction form
    2,116.75/3,175.06 = 946.45/x
  3. Step 3: Cross multiply
    2,116.75x = 3,175.06 × 946.45
  4. Step 4: Simplify right side
    2,116.75x = 3,005,035.54
  5. Step 5: Solve for x
    x = 3,005,035.54/2,116.75
  6. Step 6: Final answer
    x = 1,419.65

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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.