Home / 1,786.12-2,464.90-1,000.20

Finding the Fourth Proportional to 1,786.12, 2,464.90 and 1,000.20

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Solution

The fourth proportional to 1,786.12, 2,464.90 and 1,000.20 is: 1,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.12 : 2,464.90 = 1,000.20 : x
  2. Step 2: Convert to fraction form
    1,786.12/2,464.90 = 1,000.20/x
  3. Step 3: Cross multiply
    1,786.12x = 2,464.90 × 1,000.20
  4. Step 4: Simplify right side
    1,786.12x = 2,465,392.98
  5. Step 5: Solve for x
    x = 2,465,392.98/1,786.12
  6. Step 6: Final answer
    x = 1,380.31

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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.