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Finding the Fourth Proportional to 2,055.40, 3,083.10 and 822.40

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Solution

The fourth proportional to 2,055.40, 3,083.10 and 822.40 is: 1,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.40 : 3,083.10 = 822.40 : x
  2. Step 2: Convert to fraction form
    2,055.40/3,083.10 = 822.40/x
  3. Step 3: Cross multiply
    2,055.40x = 3,083.10 × 822.40
  4. Step 4: Simplify right side
    2,055.40x = 2,535,541.44
  5. Step 5: Solve for x
    x = 2,535,541.44/2,055.40
  6. Step 6: Final answer
    x = 1,233.60

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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.