Home / 2,582.85-3,871.44-1,022.40

Finding the Fourth Proportional to 2,582.85, 3,871.44 and 1,022.40

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Solution

The fourth proportional to 2,582.85, 3,871.44 and 1,022.40 is: 1,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.85 : 3,871.44 = 1,022.40 : x
  2. Step 2: Convert to fraction form
    2,582.85/3,871.44 = 1,022.40/x
  3. Step 3: Cross multiply
    2,582.85x = 3,871.44 × 1,022.40
  4. Step 4: Simplify right side
    2,582.85x = 3,958,160.26
  5. Step 5: Solve for x
    x = 3,958,160.26/2,582.85
  6. Step 6: Final answer
    x = 1,532.48

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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.