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Finding the Fourth Proportional to 2,697.32, 3,698.02 and 2,648.11

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Solution

The fourth proportional to 2,697.32, 3,698.02 and 2,648.11 is: 3,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.32 : 3,698.02 = 2,648.11 : x
  2. Step 2: Convert to fraction form
    2,697.32/3,698.02 = 2,648.11/x
  3. Step 3: Cross multiply
    2,697.32x = 3,698.02 × 2,648.11
  4. Step 4: Simplify right side
    2,697.32x = 9,792,763.74
  5. Step 5: Solve for x
    x = 9,792,763.74/2,697.32
  6. Step 6: Final answer
    x = 3,630.55

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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.