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Finding the Fourth Proportional to 2,183.34, 3,275.55 and 644.34

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Solution

The fourth proportional to 2,183.34, 3,275.55 and 644.34 is: 966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.34 : 3,275.55 = 644.34 : x
  2. Step 2: Convert to fraction form
    2,183.34/3,275.55 = 644.34/x
  3. Step 3: Cross multiply
    2,183.34x = 3,275.55 × 644.34
  4. Step 4: Simplify right side
    2,183.34x = 2,110,567.89
  5. Step 5: Solve for x
    x = 2,110,567.89/2,183.34
  6. Step 6: Final answer
    x = 966.67

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1.5x scale

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.