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Finding the Fourth Proportional to 3,160.80, 4,745.10 and 1,990.80

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Solution

The fourth proportional to 3,160.80, 4,745.10 and 1,990.80 is: 2,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.80 : 4,745.10 = 1,990.80 : x
  2. Step 2: Convert to fraction form
    3,160.80/4,745.10 = 1,990.80/x
  3. Step 3: Cross multiply
    3,160.80x = 4,745.10 × 1,990.80
  4. Step 4: Simplify right side
    3,160.80x = 9,446,545.08
  5. Step 5: Solve for x
    x = 9,446,545.08/3,160.80
  6. Step 6: Final answer
    x = 2,988.66

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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.