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Finding the Fourth Proportional to 2,698.08, 4,047 and 2,668.80

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Solution

The fourth proportional to 2,698.08, 4,047 and 2,668.80 is: 4,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.08 : 4,047 = 2,668.80 : x
  2. Step 2: Convert to fraction form
    2,698.08/4,047 = 2,668.80/x
  3. Step 3: Cross multiply
    2,698.08x = 4,047 × 2,668.80
  4. Step 4: Simplify right side
    2,698.08x = 10,800,633.60
  5. Step 5: Solve for x
    x = 10,800,633.60/2,698.08
  6. Step 6: Final answer
    x = 4,003.08

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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.