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Finding the Fourth Proportional to 3,079.88, 4,619.81 and 771.38

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Solution

The fourth proportional to 3,079.88, 4,619.81 and 771.38 is: 1,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.88 : 4,619.81 = 771.38 : x
  2. Step 2: Convert to fraction form
    3,079.88/4,619.81 = 771.38/x
  3. Step 3: Cross multiply
    3,079.88x = 4,619.81 × 771.38
  4. Step 4: Simplify right side
    3,079.88x = 3,563,607.87
  5. Step 5: Solve for x
    x = 3,563,607.87/3,079.88
  6. Step 6: Final answer
    x = 1,157.06

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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.