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Finding the Fourth Proportional to 3,054.65, 4,581.40 and 863.37

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Solution

The fourth proportional to 3,054.65, 4,581.40 and 863.37 is: 1,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.65 : 4,581.40 = 863.37 : x
  2. Step 2: Convert to fraction form
    3,054.65/4,581.40 = 863.37/x
  3. Step 3: Cross multiply
    3,054.65x = 4,581.40 × 863.37
  4. Step 4: Simplify right side
    3,054.65x = 3,955,416.09
  5. Step 5: Solve for x
    x = 3,955,416.09/3,054.65
  6. Step 6: Final answer
    x = 1,294.88

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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.