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Finding the Fourth Proportional to 2,214.80, 3,321.41 and 654.38

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Solution

The fourth proportional to 2,214.80, 3,321.41 and 654.38 is: 981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.80 : 3,321.41 = 654.38 : x
  2. Step 2: Convert to fraction form
    2,214.80/3,321.41 = 654.38/x
  3. Step 3: Cross multiply
    2,214.80x = 3,321.41 × 654.38
  4. Step 4: Simplify right side
    2,214.80x = 2,173,474.22
  5. Step 5: Solve for x
    x = 2,173,474.22/2,214.80
  6. Step 6: Final answer
    x = 981.34

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1.5x scale

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.