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Finding the Fourth Proportional to 2,699.95, 4,050.47 and 851.64

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Solution

The fourth proportional to 2,699.95, 4,050.47 and 851.64 is: 1,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.95 : 4,050.47 = 851.64 : x
  2. Step 2: Convert to fraction form
    2,699.95/4,050.47 = 851.64/x
  3. Step 3: Cross multiply
    2,699.95x = 4,050.47 × 851.64
  4. Step 4: Simplify right side
    2,699.95x = 3,449,542.27
  5. Step 5: Solve for x
    x = 3,449,542.27/2,699.95
  6. Step 6: Final answer
    x = 1,277.63

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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.