Home / 1,722.74-2,377.43-976.67

Finding the Fourth Proportional to 1,722.74, 2,377.43 and 976.67

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Solution

The fourth proportional to 1,722.74, 2,377.43 and 976.67 is: 1,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.74 : 2,377.43 = 976.67 : x
  2. Step 2: Convert to fraction form
    1,722.74/2,377.43 = 976.67/x
  3. Step 3: Cross multiply
    1,722.74x = 2,377.43 × 976.67
  4. Step 4: Simplify right side
    1,722.74x = 2,321,965.62
  5. Step 5: Solve for x
    x = 2,321,965.62/1,722.74
  6. Step 6: Final answer
    x = 1,347.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.