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Finding the Fourth Proportional to 8,164.56, 12,242.36 and 3,779.60

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Solution

The fourth proportional to 8,164.56, 12,242.36 and 3,779.60 is: 5,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.56 : 12,242.36 = 3,779.60 : x
  2. Step 2: Convert to fraction form
    8,164.56/12,242.36 = 3,779.60/x
  3. Step 3: Cross multiply
    8,164.56x = 12,242.36 × 3,779.60
  4. Step 4: Simplify right side
    8,164.56x = 46,271,223.86
  5. Step 5: Solve for x
    x = 46,271,223.86/8,164.56
  6. Step 6: Final answer
    x = 5,667.33

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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.