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Finding the Fourth Proportional to 2,333.50, 3,220.12 and 1,338.68

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Solution

The fourth proportional to 2,333.50, 3,220.12 and 1,338.68 is: 1,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.50 : 3,220.12 = 1,338.68 : x
  2. Step 2: Convert to fraction form
    2,333.50/3,220.12 = 1,338.68/x
  3. Step 3: Cross multiply
    2,333.50x = 3,220.12 × 1,338.68
  4. Step 4: Simplify right side
    2,333.50x = 4,310,710.24
  5. Step 5: Solve for x
    x = 4,310,710.24/2,333.50
  6. Step 6: Final answer
    x = 1,847.32

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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.