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Finding the Fourth Proportional to 2,697.57, 3,698.36 and 2,648.36

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Solution

The fourth proportional to 2,697.57, 3,698.36 and 2,648.36 is: 3,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.57 : 3,698.36 = 2,648.36 : x
  2. Step 2: Convert to fraction form
    2,697.57/3,698.36 = 2,648.36/x
  3. Step 3: Cross multiply
    2,697.57x = 3,698.36 × 2,648.36
  4. Step 4: Simplify right side
    2,697.57x = 9,794,588.69
  5. Step 5: Solve for x
    x = 9,794,588.69/2,697.57
  6. Step 6: Final answer
    x = 3,630.89

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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.