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Finding the Fourth Proportional to 2,990, 4,485 and 1,042.22

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Solution

The fourth proportional to 2,990, 4,485 and 1,042.22 is: 1,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990 : 4,485 = 1,042.22 : x
  2. Step 2: Convert to fraction form
    2,990/4,485 = 1,042.22/x
  3. Step 3: Cross multiply
    2,990x = 4,485 × 1,042.22
  4. Step 4: Simplify right side
    2,990x = 4,674,356.70
  5. Step 5: Solve for x
    x = 4,674,356.70/2,990
  6. Step 6: Final answer
    x = 1,563.33

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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.