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Finding the Fourth Proportional to 2,592, 3,888 and 1,728.54

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Solution

The fourth proportional to 2,592, 3,888 and 1,728.54 is: 2,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592 : 3,888 = 1,728.54 : x
  2. Step 2: Convert to fraction form
    2,592/3,888 = 1,728.54/x
  3. Step 3: Cross multiply
    2,592x = 3,888 × 1,728.54
  4. Step 4: Simplify right side
    2,592x = 6,720,563.52
  5. Step 5: Solve for x
    x = 6,720,563.52/2,592
  6. Step 6: Final answer
    x = 2,592.81

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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.