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Finding the Fourth Proportional to 5,014, 6,919.32 and 2,806

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Solution

The fourth proportional to 5,014, 6,919.32 and 2,806 is: 3,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014 : 6,919.32 = 2,806 : x
  2. Step 2: Convert to fraction form
    5,014/6,919.32 = 2,806/x
  3. Step 3: Cross multiply
    5,014x = 6,919.32 × 2,806
  4. Step 4: Simplify right side
    5,014x = 19,415,611.92
  5. Step 5: Solve for x
    x = 19,415,611.92/5,014
  6. Step 6: Final answer
    x = 3,872.28

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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.