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Finding the Fourth Proportional to 1,782.87, 2,674.31 and 1,011.75

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Solution

The fourth proportional to 1,782.87, 2,674.31 and 1,011.75 is: 1,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.87 : 2,674.31 = 1,011.75 : x
  2. Step 2: Convert to fraction form
    1,782.87/2,674.31 = 1,011.75/x
  3. Step 3: Cross multiply
    1,782.87x = 2,674.31 × 1,011.75
  4. Step 4: Simplify right side
    1,782.87x = 2,705,728.08
  5. Step 5: Solve for x
    x = 2,705,728.08/1,782.87
  6. Step 6: Final answer
    x = 1,517.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.