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Finding the Fourth Proportional to 1,995.69, 2,990.70 and 1,471.57

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Solution

The fourth proportional to 1,995.69, 2,990.70 and 1,471.57 is: 2,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.69 : 2,990.70 = 1,471.57 : x
  2. Step 2: Convert to fraction form
    1,995.69/2,990.70 = 1,471.57/x
  3. Step 3: Cross multiply
    1,995.69x = 2,990.70 × 1,471.57
  4. Step 4: Simplify right side
    1,995.69x = 4,401,024.40
  5. Step 5: Solve for x
    x = 4,401,024.40/1,995.69
  6. Step 6: Final answer
    x = 2,205.26

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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.