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Finding the Fourth Proportional to 4,993.78, 6,885.21 and 3,812.98

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Solution

The fourth proportional to 4,993.78, 6,885.21 and 3,812.98 is: 5,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.78 : 6,885.21 = 3,812.98 : x
  2. Step 2: Convert to fraction form
    4,993.78/6,885.21 = 3,812.98/x
  3. Step 3: Cross multiply
    4,993.78x = 6,885.21 × 3,812.98
  4. Step 4: Simplify right side
    4,993.78x = 26,253,168.03
  5. Step 5: Solve for x
    x = 26,253,168.03/4,993.78
  6. Step 6: Final answer
    x = 5,257.17

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1.5x scale

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.