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Finding the Fourth Proportional to 3,990.76, 5,977.98 and 3,253

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Solution

The fourth proportional to 3,990.76, 5,977.98 and 3,253 is: 4,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.76 : 5,977.98 = 3,253 : x
  2. Step 2: Convert to fraction form
    3,990.76/5,977.98 = 3,253/x
  3. Step 3: Cross multiply
    3,990.76x = 5,977.98 × 3,253
  4. Step 4: Simplify right side
    3,990.76x = 19,446,368.94
  5. Step 5: Solve for x
    x = 19,446,368.94/3,990.76
  6. Step 6: Final answer
    x = 4,872.85

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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.