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Finding the Fourth Proportional to 2,055.95, 3,083.92 and 823.65

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Solution

The fourth proportional to 2,055.95, 3,083.92 and 823.65 is: 1,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.95 : 3,083.92 = 823.65 : x
  2. Step 2: Convert to fraction form
    2,055.95/3,083.92 = 823.65/x
  3. Step 3: Cross multiply
    2,055.95x = 3,083.92 × 823.65
  4. Step 4: Simplify right side
    2,055.95x = 2,540,070.71
  5. Step 5: Solve for x
    x = 2,540,070.71/2,055.95
  6. Step 6: Final answer
    x = 1,235.47

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1.5x scale

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.