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Finding the Fourth Proportional to 1,782.89, 2,674.24 and 1,057.08

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Solution

The fourth proportional to 1,782.89, 2,674.24 and 1,057.08 is: 1,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.89 : 2,674.24 = 1,057.08 : x
  2. Step 2: Convert to fraction form
    1,782.89/2,674.24 = 1,057.08/x
  3. Step 3: Cross multiply
    1,782.89x = 2,674.24 × 1,057.08
  4. Step 4: Simplify right side
    1,782.89x = 2,826,882.98
  5. Step 5: Solve for x
    x = 2,826,882.98/1,782.89
  6. Step 6: Final answer
    x = 1,585.57

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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.