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Finding the Fourth Proportional to 2,114.74, 3,171.88 and 654.94

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Solution

The fourth proportional to 2,114.74, 3,171.88 and 654.94 is: 982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.74 : 3,171.88 = 654.94 : x
  2. Step 2: Convert to fraction form
    2,114.74/3,171.88 = 654.94/x
  3. Step 3: Cross multiply
    2,114.74x = 3,171.88 × 654.94
  4. Step 4: Simplify right side
    2,114.74x = 2,077,391.09
  5. Step 5: Solve for x
    x = 2,077,391.09/2,114.74
  6. Step 6: Final answer
    x = 982.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.