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Finding the Fourth Proportional to 3,176.90, 4,764.81 and 867.86

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Solution

The fourth proportional to 3,176.90, 4,764.81 and 867.86 is: 1,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.90 : 4,764.81 = 867.86 : x
  2. Step 2: Convert to fraction form
    3,176.90/4,764.81 = 867.86/x
  3. Step 3: Cross multiply
    3,176.90x = 4,764.81 × 867.86
  4. Step 4: Simplify right side
    3,176.90x = 4,135,188.01
  5. Step 5: Solve for x
    x = 4,135,188.01/3,176.90
  6. Step 6: Final answer
    x = 1,301.64

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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.