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Finding the Fourth Proportional to 2,176.76, 3,265.20 and 533.30

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Solution

The fourth proportional to 2,176.76, 3,265.20 and 533.30 is: 799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.76 : 3,265.20 = 533.30 : x
  2. Step 2: Convert to fraction form
    2,176.76/3,265.20 = 533.30/x
  3. Step 3: Cross multiply
    2,176.76x = 3,265.20 × 533.30
  4. Step 4: Simplify right side
    2,176.76x = 1,741,314.83
  5. Step 5: Solve for x
    x = 1,741,314.83/2,176.76
  6. Step 6: Final answer
    x = 799.96

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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.