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Finding the Fourth Proportional to 3,145.56, 4,718.67 and 953.97

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Solution

The fourth proportional to 3,145.56, 4,718.67 and 953.97 is: 1,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.56 : 4,718.67 = 953.97 : x
  2. Step 2: Convert to fraction form
    3,145.56/4,718.67 = 953.97/x
  3. Step 3: Cross multiply
    3,145.56x = 4,718.67 × 953.97
  4. Step 4: Simplify right side
    3,145.56x = 4,501,469.62
  5. Step 5: Solve for x
    x = 4,501,469.62/3,145.56
  6. Step 6: Final answer
    x = 1,431.06

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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.