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Finding the Fourth Proportional to 2,668.94, 3,688.20 and 2,004.66

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Solution

The fourth proportional to 2,668.94, 3,688.20 and 2,004.66 is: 2,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.94 : 3,688.20 = 2,004.66 : x
  2. Step 2: Convert to fraction form
    2,668.94/3,688.20 = 2,004.66/x
  3. Step 3: Cross multiply
    2,668.94x = 3,688.20 × 2,004.66
  4. Step 4: Simplify right side
    2,668.94x = 7,393,587.01
  5. Step 5: Solve for x
    x = 7,393,587.01/2,668.94
  6. Step 6: Final answer
    x = 2,770.23

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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.