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Finding the Fourth Proportional to 1,782.90, 2,460.46 and 996.94

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Solution

The fourth proportional to 1,782.90, 2,460.46 and 996.94 is: 1,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.90 : 2,460.46 = 996.94 : x
  2. Step 2: Convert to fraction form
    1,782.90/2,460.46 = 996.94/x
  3. Step 3: Cross multiply
    1,782.90x = 2,460.46 × 996.94
  4. Step 4: Simplify right side
    1,782.90x = 2,452,930.99
  5. Step 5: Solve for x
    x = 2,452,930.99/1,782.90
  6. Step 6: Final answer
    x = 1,375.81

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1.5x scale

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.