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Finding the Fourth Proportional to 1,782.66, 2,460.30 and 996.75

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Solution

The fourth proportional to 1,782.66, 2,460.30 and 996.75 is: 1,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.66 : 2,460.30 = 996.75 : x
  2. Step 2: Convert to fraction form
    1,782.66/2,460.30 = 996.75/x
  3. Step 3: Cross multiply
    1,782.66x = 2,460.30 × 996.75
  4. Step 4: Simplify right side
    1,782.66x = 2,452,304.03
  5. Step 5: Solve for x
    x = 2,452,304.03/1,782.66
  6. Step 6: Final answer
    x = 1,375.64

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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.