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Finding the Fourth Proportional to 2,455, 3,387.87 and 1,460.26

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Solution

The fourth proportional to 2,455, 3,387.87 and 1,460.26 is: 2,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455 : 3,387.87 = 1,460.26 : x
  2. Step 2: Convert to fraction form
    2,455/3,387.87 = 1,460.26/x
  3. Step 3: Cross multiply
    2,455x = 3,387.87 × 1,460.26
  4. Step 4: Simplify right side
    2,455x = 4,947,171.05
  5. Step 5: Solve for x
    x = 4,947,171.05/2,455
  6. Step 6: Final answer
    x = 2,015.14

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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.