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Finding the Fourth Proportional to 2,699.77, 4,049.99 and 751.98

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Solution

The fourth proportional to 2,699.77, 4,049.99 and 751.98 is: 1,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.77 : 4,049.99 = 751.98 : x
  2. Step 2: Convert to fraction form
    2,699.77/4,049.99 = 751.98/x
  3. Step 3: Cross multiply
    2,699.77x = 4,049.99 × 751.98
  4. Step 4: Simplify right side
    2,699.77x = 3,045,511.48
  5. Step 5: Solve for x
    x = 3,045,511.48/2,699.77
  6. Step 6: Final answer
    x = 1,128.06

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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.