Home / 1,825.08-2,738.38-785.30

Finding the Fourth Proportional to 1,825.08, 2,738.38 and 785.30

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Solution

The fourth proportional to 1,825.08, 2,738.38 and 785.30 is: 1,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.08 : 2,738.38 = 785.30 : x
  2. Step 2: Convert to fraction form
    1,825.08/2,738.38 = 785.30/x
  3. Step 3: Cross multiply
    1,825.08x = 2,738.38 × 785.30
  4. Step 4: Simplify right side
    1,825.08x = 2,150,449.81
  5. Step 5: Solve for x
    x = 2,150,449.81/1,825.08
  6. Step 6: Final answer
    x = 1,178.28

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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.