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Finding the Fourth Proportional to 1,994.63, 2,990.22 and 823.91

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Solution

The fourth proportional to 1,994.63, 2,990.22 and 823.91 is: 1,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.63 : 2,990.22 = 823.91 : x
  2. Step 2: Convert to fraction form
    1,994.63/2,990.22 = 823.91/x
  3. Step 3: Cross multiply
    1,994.63x = 2,990.22 × 823.91
  4. Step 4: Simplify right side
    1,994.63x = 2,463,654.12
  5. Step 5: Solve for x
    x = 2,463,654.12/1,994.63
  6. Step 6: Final answer
    x = 1,235.14

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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.