Home / 1,828.43-2,524.38-1,407.99

Finding the Fourth Proportional to 1,828.43, 2,524.38 and 1,407.99

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Solution

The fourth proportional to 1,828.43, 2,524.38 and 1,407.99 is: 1,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.43 : 2,524.38 = 1,407.99 : x
  2. Step 2: Convert to fraction form
    1,828.43/2,524.38 = 1,407.99/x
  3. Step 3: Cross multiply
    1,828.43x = 2,524.38 × 1,407.99
  4. Step 4: Simplify right side
    1,828.43x = 3,554,301.80
  5. Step 5: Solve for x
    x = 3,554,301.80/1,828.43
  6. Step 6: Final answer
    x = 1,943.91

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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.