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Finding the Fourth Proportional to 2,180.99, 3,271.46 and 537.57

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Solution

The fourth proportional to 2,180.99, 3,271.46 and 537.57 is: 806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.99 : 3,271.46 = 537.57 : x
  2. Step 2: Convert to fraction form
    2,180.99/3,271.46 = 537.57/x
  3. Step 3: Cross multiply
    2,180.99x = 3,271.46 × 537.57
  4. Step 4: Simplify right side
    2,180.99x = 1,758,636.06
  5. Step 5: Solve for x
    x = 1,758,636.06/2,180.99
  6. Step 6: Final answer
    x = 806.35

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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.