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Finding the Fourth Proportional to 4,993, 6,890.34 and 2,785

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Solution

The fourth proportional to 4,993, 6,890.34 and 2,785 is: 3,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993 : 6,890.34 = 2,785 : x
  2. Step 2: Convert to fraction form
    4,993/6,890.34 = 2,785/x
  3. Step 3: Cross multiply
    4,993x = 6,890.34 × 2,785
  4. Step 4: Simplify right side
    4,993x = 19,189,596.90
  5. Step 5: Solve for x
    x = 19,189,596.90/4,993
  6. Step 6: Final answer
    x = 3,843.30

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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.