Home / 1,823.70-2,735.49-525.15

Finding the Fourth Proportional to 1,823.70, 2,735.49 and 525.15

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Solution

The fourth proportional to 1,823.70, 2,735.49 and 525.15 is: 787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.70 : 2,735.49 = 525.15 : x
  2. Step 2: Convert to fraction form
    1,823.70/2,735.49 = 525.15/x
  3. Step 3: Cross multiply
    1,823.70x = 2,735.49 × 525.15
  4. Step 4: Simplify right side
    1,823.70x = 1,436,542.57
  5. Step 5: Solve for x
    x = 1,436,542.57/1,823.70
  6. Step 6: Final answer
    x = 787.71

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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.