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Finding the Fourth Proportional to 12,485.22, 18,720.81 and 5,464.14

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Solution

The fourth proportional to 12,485.22, 18,720.81 and 5,464.14 is: 8,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.22 : 18,720.81 = 5,464.14 : x
  2. Step 2: Convert to fraction form
    12,485.22/18,720.81 = 5,464.14/x
  3. Step 3: Cross multiply
    12,485.22x = 18,720.81 × 5,464.14
  4. Step 4: Simplify right side
    12,485.22x = 102,293,126.75
  5. Step 5: Solve for x
    x = 102,293,126.75/12,485.22
  6. Step 6: Final answer
    x = 8,193.14

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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.