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Finding the Fourth Proportional to 1,662.14, 2,293.62 and 963.56

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Solution

The fourth proportional to 1,662.14, 2,293.62 and 963.56 is: 1,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.14 : 2,293.62 = 963.56 : x
  2. Step 2: Convert to fraction form
    1,662.14/2,293.62 = 963.56/x
  3. Step 3: Cross multiply
    1,662.14x = 2,293.62 × 963.56
  4. Step 4: Simplify right side
    1,662.14x = 2,210,040.49
  5. Step 5: Solve for x
    x = 2,210,040.49/1,662.14
  6. Step 6: Final answer
    x = 1,329.64

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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.