Home / 1,997.85-3,002.75-1,653.40

Finding the Fourth Proportional to 1,997.85, 3,002.75 and 1,653.40

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Solution

The fourth proportional to 1,997.85, 3,002.75 and 1,653.40 is: 2,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.85 : 3,002.75 = 1,653.40 : x
  2. Step 2: Convert to fraction form
    1,997.85/3,002.75 = 1,653.40/x
  3. Step 3: Cross multiply
    1,997.85x = 3,002.75 × 1,653.40
  4. Step 4: Simplify right side
    1,997.85x = 4,964,731.84
  5. Step 5: Solve for x
    x = 4,964,731.84/1,997.85
  6. Step 6: Final answer
    x = 2,485.04

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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.