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Finding the Fourth Proportional to 3,207.65, 4,809.84 and 1,258.79

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Solution

The fourth proportional to 3,207.65, 4,809.84 and 1,258.79 is: 1,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.65 : 4,809.84 = 1,258.79 : x
  2. Step 2: Convert to fraction form
    3,207.65/4,809.84 = 1,258.79/x
  3. Step 3: Cross multiply
    3,207.65x = 4,809.84 × 1,258.79
  4. Step 4: Simplify right side
    3,207.65x = 6,054,554.44
  5. Step 5: Solve for x
    x = 6,054,554.44/3,207.65
  6. Step 6: Final answer
    x = 1,887.54

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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.