Home / 1,310.09-1,974.15-1,084.07

Finding the Fourth Proportional to 1,310.09, 1,974.15 and 1,084.07

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Solution

The fourth proportional to 1,310.09, 1,974.15 and 1,084.07 is: 1,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.09 : 1,974.15 = 1,084.07 : x
  2. Step 2: Convert to fraction form
    1,310.09/1,974.15 = 1,084.07/x
  3. Step 3: Cross multiply
    1,310.09x = 1,974.15 × 1,084.07
  4. Step 4: Simplify right side
    1,310.09x = 2,140,121.73
  5. Step 5: Solve for x
    x = 2,140,121.73/1,310.09
  6. Step 6: Final answer
    x = 1,633.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.