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Finding the Fourth Proportional to 4,767.86, 7,151.96 and 1,480.87

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Solution

The fourth proportional to 4,767.86, 7,151.96 and 1,480.87 is: 2,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.86 : 7,151.96 = 1,480.87 : x
  2. Step 2: Convert to fraction form
    4,767.86/7,151.96 = 1,480.87/x
  3. Step 3: Cross multiply
    4,767.86x = 7,151.96 × 1,480.87
  4. Step 4: Simplify right side
    4,767.86x = 10,591,087.09
  5. Step 5: Solve for x
    x = 10,591,087.09/4,767.86
  6. Step 6: Final answer
    x = 2,221.35

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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.