Home / 1,506.24-2,078.55-843.03

Finding the Fourth Proportional to 1,506.24, 2,078.55 and 843.03

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Solution

The fourth proportional to 1,506.24, 2,078.55 and 843.03 is: 1,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.24 : 2,078.55 = 843.03 : x
  2. Step 2: Convert to fraction form
    1,506.24/2,078.55 = 843.03/x
  3. Step 3: Cross multiply
    1,506.24x = 2,078.55 × 843.03
  4. Step 4: Simplify right side
    1,506.24x = 1,752,280.01
  5. Step 5: Solve for x
    x = 1,752,280.01/1,506.24
  6. Step 6: Final answer
    x = 1,163.35

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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.