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Finding the Fourth Proportional to 2,720.07, 4,080 and 871.14

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Solution

The fourth proportional to 2,720.07, 4,080 and 871.14 is: 1,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.07 : 4,080 = 871.14 : x
  2. Step 2: Convert to fraction form
    2,720.07/4,080 = 871.14/x
  3. Step 3: Cross multiply
    2,720.07x = 4,080 × 871.14
  4. Step 4: Simplify right side
    2,720.07x = 3,554,230.80
  5. Step 5: Solve for x
    x = 3,554,230.80/2,720.07
  6. Step 6: Final answer
    x = 1,306.67

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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.