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Finding the Fourth Proportional to 3,910.77, 5,877.63 and 3,256.83

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Solution

The fourth proportional to 3,910.77, 5,877.63 and 3,256.83 is: 4,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.77 : 5,877.63 = 3,256.83 : x
  2. Step 2: Convert to fraction form
    3,910.77/5,877.63 = 3,256.83/x
  3. Step 3: Cross multiply
    3,910.77x = 5,877.63 × 3,256.83
  4. Step 4: Simplify right side
    3,910.77x = 19,142,441.71
  5. Step 5: Solve for x
    x = 19,142,441.71/3,910.77
  6. Step 6: Final answer
    x = 4,894.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.