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Finding the Fourth Proportional to 3,321.02, 4,977.02 and 1,678.70

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Solution

The fourth proportional to 3,321.02, 4,977.02 and 1,678.70 is: 2,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.02 : 4,977.02 = 1,678.70 : x
  2. Step 2: Convert to fraction form
    3,321.02/4,977.02 = 1,678.70/x
  3. Step 3: Cross multiply
    3,321.02x = 4,977.02 × 1,678.70
  4. Step 4: Simplify right side
    3,321.02x = 8,354,923.47
  5. Step 5: Solve for x
    x = 8,354,923.47/3,321.02
  6. Step 6: Final answer
    x = 2,515.77

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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.