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Finding the Fourth Proportional to 1,698.72, 2,343.74 and 1,623.80

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Solution

The fourth proportional to 1,698.72, 2,343.74 and 1,623.80 is: 2,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.72 : 2,343.74 = 1,623.80 : x
  2. Step 2: Convert to fraction form
    1,698.72/2,343.74 = 1,623.80/x
  3. Step 3: Cross multiply
    1,698.72x = 2,343.74 × 1,623.80
  4. Step 4: Simplify right side
    1,698.72x = 3,805,765.01
  5. Step 5: Solve for x
    x = 3,805,765.01/1,698.72
  6. Step 6: Final answer
    x = 2,240.37

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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.