Home / 1,809.75-2,497.46-1,023.78

Finding the Fourth Proportional to 1,809.75, 2,497.46 and 1,023.78

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Solution

The fourth proportional to 1,809.75, 2,497.46 and 1,023.78 is: 1,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.75 : 2,497.46 = 1,023.78 : x
  2. Step 2: Convert to fraction form
    1,809.75/2,497.46 = 1,023.78/x
  3. Step 3: Cross multiply
    1,809.75x = 2,497.46 × 1,023.78
  4. Step 4: Simplify right side
    1,809.75x = 2,556,844.48
  5. Step 5: Solve for x
    x = 2,556,844.48/1,809.75
  6. Step 6: Final answer
    x = 1,412.82

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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.