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Finding the Fourth Proportional to 7,643.44, 11,464.88 and 4,482.64

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Solution

The fourth proportional to 7,643.44, 11,464.88 and 4,482.64 is: 6,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.44 : 11,464.88 = 4,482.64 : x
  2. Step 2: Convert to fraction form
    7,643.44/11,464.88 = 4,482.64/x
  3. Step 3: Cross multiply
    7,643.44x = 11,464.88 × 4,482.64
  4. Step 4: Simplify right side
    7,643.44x = 51,392,929.68
  5. Step 5: Solve for x
    x = 51,392,929.68/7,643.44
  6. Step 6: Final answer
    x = 6,723.80

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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.