Home / 1,972.50-2,722.32-1,144.50

Finding the Fourth Proportional to 1,972.50, 2,722.32 and 1,144.50

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Solution

The fourth proportional to 1,972.50, 2,722.32 and 1,144.50 is: 1,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.50 : 2,722.32 = 1,144.50 : x
  2. Step 2: Convert to fraction form
    1,972.50/2,722.32 = 1,144.50/x
  3. Step 3: Cross multiply
    1,972.50x = 2,722.32 × 1,144.50
  4. Step 4: Simplify right side
    1,972.50x = 3,115,695.24
  5. Step 5: Solve for x
    x = 3,115,695.24/1,972.50
  6. Step 6: Final answer
    x = 1,579.57

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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.