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Finding the Fourth Proportional to 2,889.74, 4,338.93 and 2,788.94

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Solution

The fourth proportional to 2,889.74, 4,338.93 and 2,788.94 is: 4,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.74 : 4,338.93 = 2,788.94 : x
  2. Step 2: Convert to fraction form
    2,889.74/4,338.93 = 2,788.94/x
  3. Step 3: Cross multiply
    2,889.74x = 4,338.93 × 2,788.94
  4. Step 4: Simplify right side
    2,889.74x = 12,101,015.43
  5. Step 5: Solve for x
    x = 12,101,015.43/2,889.74
  6. Step 6: Final answer
    x = 4,187.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.