Home / 2,549.19-3,823.43-817.59

Finding the Fourth Proportional to 2,549.19, 3,823.43 and 817.59

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Solution

The fourth proportional to 2,549.19, 3,823.43 and 817.59 is: 1,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.19 : 3,823.43 = 817.59 : x
  2. Step 2: Convert to fraction form
    2,549.19/3,823.43 = 817.59/x
  3. Step 3: Cross multiply
    2,549.19x = 3,823.43 × 817.59
  4. Step 4: Simplify right side
    2,549.19x = 3,125,994.05
  5. Step 5: Solve for x
    x = 3,125,994.05/2,549.19
  6. Step 6: Final answer
    x = 1,226.27

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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.