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Finding the Fourth Proportional to 5,355.83, 8,037.09 and 3,855

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Solution

The fourth proportional to 5,355.83, 8,037.09 and 3,855 is: 5,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.83 : 8,037.09 = 3,855 : x
  2. Step 2: Convert to fraction form
    5,355.83/8,037.09 = 3,855/x
  3. Step 3: Cross multiply
    5,355.83x = 8,037.09 × 3,855
  4. Step 4: Simplify right side
    5,355.83x = 30,982,981.95
  5. Step 5: Solve for x
    x = 30,982,981.95/5,355.83
  6. Step 6: Final answer
    x = 5,784.91

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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.