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Finding the Fourth Proportional to 5,271.99, 7,891.57 and 3,320.09

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Solution

The fourth proportional to 5,271.99, 7,891.57 and 3,320.09 is: 4,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.99 : 7,891.57 = 3,320.09 : x
  2. Step 2: Convert to fraction form
    5,271.99/7,891.57 = 3,320.09/x
  3. Step 3: Cross multiply
    5,271.99x = 7,891.57 × 3,320.09
  4. Step 4: Simplify right side
    5,271.99x = 26,200,683.18
  5. Step 5: Solve for x
    x = 26,200,683.18/5,271.99
  6. Step 6: Final answer
    x = 4,969.79

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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.