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Finding the Fourth Proportional to 2,728, 3,762.56 and 1,678.24

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Solution

The fourth proportional to 2,728, 3,762.56 and 1,678.24 is: 2,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728 : 3,762.56 = 1,678.24 : x
  2. Step 2: Convert to fraction form
    2,728/3,762.56 = 1,678.24/x
  3. Step 3: Cross multiply
    2,728x = 3,762.56 × 1,678.24
  4. Step 4: Simplify right side
    2,728x = 6,314,478.69
  5. Step 5: Solve for x
    x = 6,314,478.69/2,728
  6. Step 6: Final answer
    x = 2,314.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.