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Finding the Fourth Proportional to 3,885.76, 5,828.60 and 1,481.88

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Solution

The fourth proportional to 3,885.76, 5,828.60 and 1,481.88 is: 2,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.76 : 5,828.60 = 1,481.88 : x
  2. Step 2: Convert to fraction form
    3,885.76/5,828.60 = 1,481.88/x
  3. Step 3: Cross multiply
    3,885.76x = 5,828.60 × 1,481.88
  4. Step 4: Simplify right side
    3,885.76x = 8,637,285.77
  5. Step 5: Solve for x
    x = 8,637,285.77/3,885.76
  6. Step 6: Final answer
    x = 2,222.80

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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.