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Finding the Fourth Proportional to 2,884.65, 4,319.43 and 1,894.33

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Solution

The fourth proportional to 2,884.65, 4,319.43 and 1,894.33 is: 2,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.65 : 4,319.43 = 1,894.33 : x
  2. Step 2: Convert to fraction form
    2,884.65/4,319.43 = 1,894.33/x
  3. Step 3: Cross multiply
    2,884.65x = 4,319.43 × 1,894.33
  4. Step 4: Simplify right side
    2,884.65x = 8,182,425.83
  5. Step 5: Solve for x
    x = 8,182,425.83/2,884.65
  6. Step 6: Final answer
    x = 2,836.54

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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.