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Finding the Fourth Proportional to 1,995.40, 2,995.75 and 1,704.77

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Solution

The fourth proportional to 1,995.40, 2,995.75 and 1,704.77 is: 2,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.40 : 2,995.75 = 1,704.77 : x
  2. Step 2: Convert to fraction form
    1,995.40/2,995.75 = 1,704.77/x
  3. Step 3: Cross multiply
    1,995.40x = 2,995.75 × 1,704.77
  4. Step 4: Simplify right side
    1,995.40x = 5,107,049.75
  5. Step 5: Solve for x
    x = 5,107,049.75/1,995.40
  6. Step 6: Final answer
    x = 2,559.41

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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.