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Finding the Fourth Proportional to 3,297.84, 4,550.91 and 1,970.76

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Solution

The fourth proportional to 3,297.84, 4,550.91 and 1,970.76 is: 2,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.84 : 4,550.91 = 1,970.76 : x
  2. Step 2: Convert to fraction form
    3,297.84/4,550.91 = 1,970.76/x
  3. Step 3: Cross multiply
    3,297.84x = 4,550.91 × 1,970.76
  4. Step 4: Simplify right side
    3,297.84x = 8,968,751.39
  5. Step 5: Solve for x
    x = 8,968,751.39/3,297.84
  6. Step 6: Final answer
    x = 2,719.58

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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.