Home / 1,828.50-2,744.01-1,584.78

Finding the Fourth Proportional to 1,828.50, 2,744.01 and 1,584.78

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Solution

The fourth proportional to 1,828.50, 2,744.01 and 1,584.78 is: 2,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.50 : 2,744.01 = 1,584.78 : x
  2. Step 2: Convert to fraction form
    1,828.50/2,744.01 = 1,584.78/x
  3. Step 3: Cross multiply
    1,828.50x = 2,744.01 × 1,584.78
  4. Step 4: Simplify right side
    1,828.50x = 4,348,652.17
  5. Step 5: Solve for x
    x = 4,348,652.17/1,828.50
  6. Step 6: Final answer
    x = 2,378.26

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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.