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Finding the Fourth Proportional to 5,100, 7,650.78 and 4,217.37

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Solution

The fourth proportional to 5,100, 7,650.78 and 4,217.37 is: 6,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 7,650.78 = 4,217.37 : x
  2. Step 2: Convert to fraction form
    5,100/7,650.78 = 4,217.37/x
  3. Step 3: Cross multiply
    5,100x = 7,650.78 × 4,217.37
  4. Step 4: Simplify right side
    5,100x = 32,266,170.05
  5. Step 5: Solve for x
    x = 32,266,170.05/5,100
  6. Step 6: Final answer
    x = 6,326.70

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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.