Home / 2,177.24-3,265.84-533.78

Finding the Fourth Proportional to 2,177.24, 3,265.84 and 533.78

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Solution

The fourth proportional to 2,177.24, 3,265.84 and 533.78 is: 800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.24 : 3,265.84 = 533.78 : x
  2. Step 2: Convert to fraction form
    2,177.24/3,265.84 = 533.78/x
  3. Step 3: Cross multiply
    2,177.24x = 3,265.84 × 533.78
  4. Step 4: Simplify right side
    2,177.24x = 1,743,240.08
  5. Step 5: Solve for x
    x = 1,743,240.08/2,177.24
  6. Step 6: Final answer
    x = 800.67

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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.