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Finding the Fourth Proportional to 2,293.21, 3,439.43 and 649.86

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Solution

The fourth proportional to 2,293.21, 3,439.43 and 649.86 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.21 : 3,439.43 = 649.86 : x
  2. Step 2: Convert to fraction form
    2,293.21/3,439.43 = 649.86/x
  3. Step 3: Cross multiply
    2,293.21x = 3,439.43 × 649.86
  4. Step 4: Simplify right side
    2,293.21x = 2,235,134.27
  5. Step 5: Solve for x
    x = 2,235,134.27/2,293.21
  6. Step 6: Final answer
    x = 974.67

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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.