Home / 5,314.31-7,966-2,975.27

Finding the Fourth Proportional to 5,314.31, 7,966 and 2,975.27

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Solution

The fourth proportional to 5,314.31, 7,966 and 2,975.27 is: 4,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.31 : 7,966 = 2,975.27 : x
  2. Step 2: Convert to fraction form
    5,314.31/7,966 = 2,975.27/x
  3. Step 3: Cross multiply
    5,314.31x = 7,966 × 2,975.27
  4. Step 4: Simplify right side
    5,314.31x = 23,701,000.82
  5. Step 5: Solve for x
    x = 23,701,000.82/5,314.31
  6. Step 6: Final answer
    x = 4,459.85

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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.