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Finding the Fourth Proportional to 6,749.84, 10,120.42 and 2,803.82

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Solution

The fourth proportional to 6,749.84, 10,120.42 and 2,803.82 is: 4,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.84 : 10,120.42 = 2,803.82 : x
  2. Step 2: Convert to fraction form
    6,749.84/10,120.42 = 2,803.82/x
  3. Step 3: Cross multiply
    6,749.84x = 10,120.42 × 2,803.82
  4. Step 4: Simplify right side
    6,749.84x = 28,375,836.00
  5. Step 5: Solve for x
    x = 28,375,836.00/6,749.84
  6. Step 6: Final answer
    x = 4,203.93

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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.