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Finding the Fourth Proportional to 2,928, 4,040.76 and 1,686

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Solution

The fourth proportional to 2,928, 4,040.76 and 1,686 is: 2,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928 : 4,040.76 = 1,686 : x
  2. Step 2: Convert to fraction form
    2,928/4,040.76 = 1,686/x
  3. Step 3: Cross multiply
    2,928x = 4,040.76 × 1,686
  4. Step 4: Simplify right side
    2,928x = 6,812,721.36
  5. Step 5: Solve for x
    x = 6,812,721.36/2,928
  6. Step 6: Final answer
    x = 2,326.75

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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.