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Finding the Fourth Proportional to 3,898.63, 5,848.80 and 2,255.59

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Solution

The fourth proportional to 3,898.63, 5,848.80 and 2,255.59 is: 3,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.63 : 5,848.80 = 2,255.59 : x
  2. Step 2: Convert to fraction form
    3,898.63/5,848.80 = 2,255.59/x
  3. Step 3: Cross multiply
    3,898.63x = 5,848.80 × 2,255.59
  4. Step 4: Simplify right side
    3,898.63x = 13,192,494.79
  5. Step 5: Solve for x
    x = 13,192,494.79/3,898.63
  6. Step 6: Final answer
    x = 3,383.88

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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.