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Finding the Fourth Proportional to 3,668.22, 5,503.68 and 1,328.40

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Solution

The fourth proportional to 3,668.22, 5,503.68 and 1,328.40 is: 1,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.22 : 5,503.68 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    3,668.22/5,503.68 = 1,328.40/x
  3. Step 3: Cross multiply
    3,668.22x = 5,503.68 × 1,328.40
  4. Step 4: Simplify right side
    3,668.22x = 7,311,088.51
  5. Step 5: Solve for x
    x = 7,311,088.51/3,668.22
  6. Step 6: Final answer
    x = 1,993.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.