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Finding the Fourth Proportional to 2,824.66, 3,898.16 and 1,645.84

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Solution

The fourth proportional to 2,824.66, 3,898.16 and 1,645.84 is: 2,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.66 : 3,898.16 = 1,645.84 : x
  2. Step 2: Convert to fraction form
    2,824.66/3,898.16 = 1,645.84/x
  3. Step 3: Cross multiply
    2,824.66x = 3,898.16 × 1,645.84
  4. Step 4: Simplify right side
    2,824.66x = 6,415,747.65
  5. Step 5: Solve for x
    x = 6,415,747.65/2,824.66
  6. Step 6: Final answer
    x = 2,271.33

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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.