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Finding the Fourth Proportional to 3,245.58, 4,867.74 and 905.09

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Solution

The fourth proportional to 3,245.58, 4,867.74 and 905.09 is: 1,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.58 : 4,867.74 = 905.09 : x
  2. Step 2: Convert to fraction form
    3,245.58/4,867.74 = 905.09/x
  3. Step 3: Cross multiply
    3,245.58x = 4,867.74 × 905.09
  4. Step 4: Simplify right side
    3,245.58x = 4,405,718.46
  5. Step 5: Solve for x
    x = 4,405,718.46/3,245.58
  6. Step 6: Final answer
    x = 1,357.45

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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.