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Finding the Fourth Proportional to 30,656.64, 45,976.74 and 8,464.80

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Solution

The fourth proportional to 30,656.64, 45,976.74 and 8,464.80 is: 12,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.64 : 45,976.74 = 8,464.80 : x
  2. Step 2: Convert to fraction form
    30,656.64/45,976.74 = 8,464.80/x
  3. Step 3: Cross multiply
    30,656.64x = 45,976.74 × 8,464.80
  4. Step 4: Simplify right side
    30,656.64x = 389,183,908.75
  5. Step 5: Solve for x
    x = 389,183,908.75/30,656.64
  6. Step 6: Final answer
    x = 12,694.93

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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.