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Finding the Fourth Proportional to 1,992.80, 2,989.40 and 823.29

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Solution

The fourth proportional to 1,992.80, 2,989.40 and 823.29 is: 1,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.80 : 2,989.40 = 823.29 : x
  2. Step 2: Convert to fraction form
    1,992.80/2,989.40 = 823.29/x
  3. Step 3: Cross multiply
    1,992.80x = 2,989.40 × 823.29
  4. Step 4: Simplify right side
    1,992.80x = 2,461,139.01
  5. Step 5: Solve for x
    x = 2,461,139.01/1,992.80
  6. Step 6: Final answer
    x = 1,235.02

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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.