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Finding the Fourth Proportional to 2,639.31, 3,642.09 and 1,460.31

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Solution

The fourth proportional to 2,639.31, 3,642.09 and 1,460.31 is: 2,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.31 : 3,642.09 = 1,460.31 : x
  2. Step 2: Convert to fraction form
    2,639.31/3,642.09 = 1,460.31/x
  3. Step 3: Cross multiply
    2,639.31x = 3,642.09 × 1,460.31
  4. Step 4: Simplify right side
    2,639.31x = 5,318,580.45
  5. Step 5: Solve for x
    x = 5,318,580.45/2,639.31
  6. Step 6: Final answer
    x = 2,015.14

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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.