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Finding the Fourth Proportional to 2,681.10, 3,698.75 and 1,684.80

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Solution

The fourth proportional to 2,681.10, 3,698.75 and 1,684.80 is: 2,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.10 : 3,698.75 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    2,681.10/3,698.75 = 1,684.80/x
  3. Step 3: Cross multiply
    2,681.10x = 3,698.75 × 1,684.80
  4. Step 4: Simplify right side
    2,681.10x = 6,231,658.21
  5. Step 5: Solve for x
    x = 6,231,658.21/2,681.10
  6. Step 6: Final answer
    x = 2,324.29

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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.