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Finding the Fourth Proportional to 5,150.70, 7,728.75 and 4,871.88

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Solution

The fourth proportional to 5,150.70, 7,728.75 and 4,871.88 is: 7,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.70 : 7,728.75 = 4,871.88 : x
  2. Step 2: Convert to fraction form
    5,150.70/7,728.75 = 4,871.88/x
  3. Step 3: Cross multiply
    5,150.70x = 7,728.75 × 4,871.88
  4. Step 4: Simplify right side
    5,150.70x = 37,653,542.55
  5. Step 5: Solve for x
    x = 37,653,542.55/5,150.70
  6. Step 6: Final answer
    x = 7,310.37

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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.