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Finding the Fourth Proportional to 5,031, 6,942.78 and 2,823

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Solution

The fourth proportional to 5,031, 6,942.78 and 2,823 is: 3,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031 : 6,942.78 = 2,823 : x
  2. Step 2: Convert to fraction form
    5,031/6,942.78 = 2,823/x
  3. Step 3: Cross multiply
    5,031x = 6,942.78 × 2,823
  4. Step 4: Simplify right side
    5,031x = 19,599,467.94
  5. Step 5: Solve for x
    x = 19,599,467.94/5,031
  6. Step 6: Final answer
    x = 3,895.74

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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.