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Finding the Fourth Proportional to 2,696.85, 4,038.79 and 1,828.53

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Solution

The fourth proportional to 2,696.85, 4,038.79 and 1,828.53 is: 2,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.85 : 4,038.79 = 1,828.53 : x
  2. Step 2: Convert to fraction form
    2,696.85/4,038.79 = 1,828.53/x
  3. Step 3: Cross multiply
    2,696.85x = 4,038.79 × 1,828.53
  4. Step 4: Simplify right side
    2,696.85x = 7,385,048.68
  5. Step 5: Solve for x
    x = 7,385,048.68/2,696.85
  6. Step 6: Final answer
    x = 2,738.40

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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.