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Finding the Fourth Proportional to 3,666.68, 5,057.08 and 3,223.64

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Solution

The fourth proportional to 3,666.68, 5,057.08 and 3,223.64 is: 4,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.68 : 5,057.08 = 3,223.64 : x
  2. Step 2: Convert to fraction form
    3,666.68/5,057.08 = 3,223.64/x
  3. Step 3: Cross multiply
    3,666.68x = 5,057.08 × 3,223.64
  4. Step 4: Simplify right side
    3,666.68x = 16,302,205.37
  5. Step 5: Solve for x
    x = 16,302,205.37/3,666.68
  6. Step 6: Final answer
    x = 4,446.04

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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.