Home / 1,830.75-2,739.24-1,284

Finding the Fourth Proportional to 1,830.75, 2,739.24 and 1,284

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Solution

The fourth proportional to 1,830.75, 2,739.24 and 1,284 is: 1,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.75 : 2,739.24 = 1,284 : x
  2. Step 2: Convert to fraction form
    1,830.75/2,739.24 = 1,284/x
  3. Step 3: Cross multiply
    1,830.75x = 2,739.24 × 1,284
  4. Step 4: Simplify right side
    1,830.75x = 3,517,184.16
  5. Step 5: Solve for x
    x = 3,517,184.16/1,830.75
  6. Step 6: Final answer
    x = 1,921.17

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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.