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Finding the Fourth Proportional to 3,898.98, 5,848.26 and 1,266.63

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Solution

The fourth proportional to 3,898.98, 5,848.26 and 1,266.63 is: 1,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.98 : 5,848.26 = 1,266.63 : x
  2. Step 2: Convert to fraction form
    3,898.98/5,848.26 = 1,266.63/x
  3. Step 3: Cross multiply
    3,898.98x = 5,848.26 × 1,266.63
  4. Step 4: Simplify right side
    3,898.98x = 7,407,581.56
  5. Step 5: Solve for x
    x = 7,407,581.56/3,898.98
  6. Step 6: Final answer
    x = 1,899.88

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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.