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Finding the Fourth Proportional to 2,631.65, 3,947.09 and 782.42

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Solution

The fourth proportional to 2,631.65, 3,947.09 and 782.42 is: 1,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.65 : 3,947.09 = 782.42 : x
  2. Step 2: Convert to fraction form
    2,631.65/3,947.09 = 782.42/x
  3. Step 3: Cross multiply
    2,631.65x = 3,947.09 × 782.42
  4. Step 4: Simplify right side
    2,631.65x = 3,088,258.51
  5. Step 5: Solve for x
    x = 3,088,258.51/2,631.65
  6. Step 6: Final answer
    x = 1,173.51

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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.