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Finding the Fourth Proportional to 2,655.54, 3,668.09 and 2,022.21

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Solution

The fourth proportional to 2,655.54, 3,668.09 and 2,022.21 is: 2,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.54 : 3,668.09 = 2,022.21 : x
  2. Step 2: Convert to fraction form
    2,655.54/3,668.09 = 2,022.21/x
  3. Step 3: Cross multiply
    2,655.54x = 3,668.09 × 2,022.21
  4. Step 4: Simplify right side
    2,655.54x = 7,417,638.17
  5. Step 5: Solve for x
    x = 7,417,638.17/2,655.54
  6. Step 6: Final answer
    x = 2,793.27

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1.5x scale

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.