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Finding the Fourth Proportional to 1,990.12, 2,991.10 and 1,345

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Solution

The fourth proportional to 1,990.12, 2,991.10 and 1,345 is: 2,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.12 : 2,991.10 = 1,345 : x
  2. Step 2: Convert to fraction form
    1,990.12/2,991.10 = 1,345/x
  3. Step 3: Cross multiply
    1,990.12x = 2,991.10 × 1,345
  4. Step 4: Simplify right side
    1,990.12x = 4,023,029.50
  5. Step 5: Solve for x
    x = 4,023,029.50/1,990.12
  6. Step 6: Final answer
    x = 2,021.50

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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.