Home / 1,769.10-2,441.31-1,023.09

Finding the Fourth Proportional to 1,769.10, 2,441.31 and 1,023.09

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Solution

The fourth proportional to 1,769.10, 2,441.31 and 1,023.09 is: 1,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.10 : 2,441.31 = 1,023.09 : x
  2. Step 2: Convert to fraction form
    1,769.10/2,441.31 = 1,023.09/x
  3. Step 3: Cross multiply
    1,769.10x = 2,441.31 × 1,023.09
  4. Step 4: Simplify right side
    1,769.10x = 2,497,679.85
  5. Step 5: Solve for x
    x = 2,497,679.85/1,769.10
  6. Step 6: Final answer
    x = 1,411.84

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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.