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Finding the Fourth Proportional to 2,456, 3,388.56 and 1,460.78

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Solution

The fourth proportional to 2,456, 3,388.56 and 1,460.78 is: 2,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456 : 3,388.56 = 1,460.78 : x
  2. Step 2: Convert to fraction form
    2,456/3,388.56 = 1,460.78/x
  3. Step 3: Cross multiply
    2,456x = 3,388.56 × 1,460.78
  4. Step 4: Simplify right side
    2,456x = 4,949,940.68
  5. Step 5: Solve for x
    x = 4,949,940.68/2,456
  6. Step 6: Final answer
    x = 2,015.45

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