Home / 1,722.96-2,377.28-976.75

Finding the Fourth Proportional to 1,722.96, 2,377.28 and 976.75

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Solution

The fourth proportional to 1,722.96, 2,377.28 and 976.75 is: 1,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.96 : 2,377.28 = 976.75 : x
  2. Step 2: Convert to fraction form
    1,722.96/2,377.28 = 976.75/x
  3. Step 3: Cross multiply
    1,722.96x = 2,377.28 × 976.75
  4. Step 4: Simplify right side
    1,722.96x = 2,322,004.74
  5. Step 5: Solve for x
    x = 2,322,004.74/1,722.96
  6. Step 6: Final answer
    x = 1,347.68

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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.