Home / 1,971.67-2,957.43-1,148.30

Finding the Fourth Proportional to 1,971.67, 2,957.43 and 1,148.30

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Solution

The fourth proportional to 1,971.67, 2,957.43 and 1,148.30 is: 1,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.67 : 2,957.43 = 1,148.30 : x
  2. Step 2: Convert to fraction form
    1,971.67/2,957.43 = 1,148.30/x
  3. Step 3: Cross multiply
    1,971.67x = 2,957.43 × 1,148.30
  4. Step 4: Simplify right side
    1,971.67x = 3,396,016.87
  5. Step 5: Solve for x
    x = 3,396,016.87/1,971.67
  6. Step 6: Final answer
    x = 1,722.41

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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.