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Finding the Fourth Proportional to 2,558.07, 3,836.64 and 683.99

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Solution

The fourth proportional to 2,558.07, 3,836.64 and 683.99 is: 1,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.07 : 3,836.64 = 683.99 : x
  2. Step 2: Convert to fraction form
    2,558.07/3,836.64 = 683.99/x
  3. Step 3: Cross multiply
    2,558.07x = 3,836.64 × 683.99
  4. Step 4: Simplify right side
    2,558.07x = 2,624,204.21
  5. Step 5: Solve for x
    x = 2,624,204.21/2,558.07
  6. Step 6: Final answer
    x = 1,025.85

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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.