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Finding the Fourth Proportional to 2,698.56, 3,699.74 and 2,649.36

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Solution

The fourth proportional to 2,698.56, 3,699.74 and 2,649.36 is: 3,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.56 : 3,699.74 = 2,649.36 : x
  2. Step 2: Convert to fraction form
    2,698.56/3,699.74 = 2,649.36/x
  3. Step 3: Cross multiply
    2,698.56x = 3,699.74 × 2,649.36
  4. Step 4: Simplify right side
    2,698.56x = 9,801,943.17
  5. Step 5: Solve for x
    x = 9,801,943.17/2,698.56
  6. Step 6: Final answer
    x = 3,632.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.