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Finding the Fourth Proportional to 3,764.40, 5,646.60 and 3,207.60

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Solution

The fourth proportional to 3,764.40, 5,646.60 and 3,207.60 is: 4,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.40 : 5,646.60 = 3,207.60 : x
  2. Step 2: Convert to fraction form
    3,764.40/5,646.60 = 3,207.60/x
  3. Step 3: Cross multiply
    3,764.40x = 5,646.60 × 3,207.60
  4. Step 4: Simplify right side
    3,764.40x = 18,112,034.16
  5. Step 5: Solve for x
    x = 18,112,034.16/3,764.40
  6. Step 6: Final answer
    x = 4,811.40

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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.