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Finding the Fourth Proportional to 20,464.56, 30,679.71 and 6,415.71

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Solution

The fourth proportional to 20,464.56, 30,679.71 and 6,415.71 is: 9,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.56 : 30,679.71 = 6,415.71 : x
  2. Step 2: Convert to fraction form
    20,464.56/30,679.71 = 6,415.71/x
  3. Step 3: Cross multiply
    20,464.56x = 30,679.71 × 6,415.71
  4. Step 4: Simplify right side
    20,464.56x = 196,832,122.24
  5. Step 5: Solve for x
    x = 196,832,122.24/20,464.56
  6. Step 6: Final answer
    x = 9,618.19

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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.