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Finding the Fourth Proportional to 5,146.88, 7,720.31 and 2,068.88

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Solution

The fourth proportional to 5,146.88, 7,720.31 and 2,068.88 is: 3,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.88 : 7,720.31 = 2,068.88 : x
  2. Step 2: Convert to fraction form
    5,146.88/7,720.31 = 2,068.88/x
  3. Step 3: Cross multiply
    5,146.88x = 7,720.31 × 2,068.88
  4. Step 4: Simplify right side
    5,146.88x = 15,972,361.52
  5. Step 5: Solve for x
    x = 15,972,361.52/5,146.88
  6. Step 6: Final answer
    x = 3,103.31

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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.