Home / 2,823.84-3,900.88-2,042

Finding the Fourth Proportional to 2,823.84, 3,900.88 and 2,042

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Solution

The fourth proportional to 2,823.84, 3,900.88 and 2,042 is: 2,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.84 : 3,900.88 = 2,042 : x
  2. Step 2: Convert to fraction form
    2,823.84/3,900.88 = 2,042/x
  3. Step 3: Cross multiply
    2,823.84x = 3,900.88 × 2,042
  4. Step 4: Simplify right side
    2,823.84x = 7,965,596.96
  5. Step 5: Solve for x
    x = 7,965,596.96/2,823.84
  6. Step 6: Final answer
    x = 2,820.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.