Home / 1,975.06-2,963.76-820.81

Finding the Fourth Proportional to 1,975.06, 2,963.76 and 820.81

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Solution

The fourth proportional to 1,975.06, 2,963.76 and 820.81 is: 1,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.06 : 2,963.76 = 820.81 : x
  2. Step 2: Convert to fraction form
    1,975.06/2,963.76 = 820.81/x
  3. Step 3: Cross multiply
    1,975.06x = 2,963.76 × 820.81
  4. Step 4: Simplify right side
    1,975.06x = 2,432,683.85
  5. Step 5: Solve for x
    x = 2,432,683.85/1,975.06
  6. Step 6: Final answer
    x = 1,231.70

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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.