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Finding the Fourth Proportional to 2,631.51, 3,947.92 and 782.62

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Solution

The fourth proportional to 2,631.51, 3,947.92 and 782.62 is: 1,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.51 : 3,947.92 = 782.62 : x
  2. Step 2: Convert to fraction form
    2,631.51/3,947.92 = 782.62/x
  3. Step 3: Cross multiply
    2,631.51x = 3,947.92 × 782.62
  4. Step 4: Simplify right side
    2,631.51x = 3,089,717.24
  5. Step 5: Solve for x
    x = 3,089,717.24/2,631.51
  6. Step 6: Final answer
    x = 1,174.12

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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.