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Finding the Fourth Proportional to 3,898.35, 5,848.44 and 1,265.85

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Solution

The fourth proportional to 3,898.35, 5,848.44 and 1,265.85 is: 1,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.35 : 5,848.44 = 1,265.85 : x
  2. Step 2: Convert to fraction form
    3,898.35/5,848.44 = 1,265.85/x
  3. Step 3: Cross multiply
    3,898.35x = 5,848.44 × 1,265.85
  4. Step 4: Simplify right side
    3,898.35x = 7,403,247.77
  5. Step 5: Solve for x
    x = 7,403,247.77/3,898.35
  6. Step 6: Final answer
    x = 1,899.07

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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.