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Finding the Fourth Proportional to 2,673.28, 3,688 and 1,728.64

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Solution

The fourth proportional to 2,673.28, 3,688 and 1,728.64 is: 2,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.28 : 3,688 = 1,728.64 : x
  2. Step 2: Convert to fraction form
    2,673.28/3,688 = 1,728.64/x
  3. Step 3: Cross multiply
    2,673.28x = 3,688 × 1,728.64
  4. Step 4: Simplify right side
    2,673.28x = 6,375,224.32
  5. Step 5: Solve for x
    x = 6,375,224.32/2,673.28
  6. Step 6: Final answer
    x = 2,384.79

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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.