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Finding the Fourth Proportional to 4,718.56, 7,079 and 1,431.48

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Solution

The fourth proportional to 4,718.56, 7,079 and 1,431.48 is: 2,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.56 : 7,079 = 1,431.48 : x
  2. Step 2: Convert to fraction form
    4,718.56/7,079 = 1,431.48/x
  3. Step 3: Cross multiply
    4,718.56x = 7,079 × 1,431.48
  4. Step 4: Simplify right side
    4,718.56x = 10,133,446.92
  5. Step 5: Solve for x
    x = 10,133,446.92/4,718.56
  6. Step 6: Final answer
    x = 2,147.57

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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.