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Finding the Fourth Proportional to 4,800.78, 6,626.74 and 2,811.98

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Solution

The fourth proportional to 4,800.78, 6,626.74 and 2,811.98 is: 3,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.78 : 6,626.74 = 2,811.98 : x
  2. Step 2: Convert to fraction form
    4,800.78/6,626.74 = 2,811.98/x
  3. Step 3: Cross multiply
    4,800.78x = 6,626.74 × 2,811.98
  4. Step 4: Simplify right side
    4,800.78x = 18,634,260.35
  5. Step 5: Solve for x
    x = 18,634,260.35/4,800.78
  6. Step 6: Final answer
    x = 3,881.51

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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.