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Finding the Fourth Proportional to 6,887.70, 9,505.10 and 3,743.89

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Solution

The fourth proportional to 6,887.70, 9,505.10 and 3,743.89 is: 5,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.70 : 9,505.10 = 3,743.89 : x
  2. Step 2: Convert to fraction form
    6,887.70/9,505.10 = 3,743.89/x
  3. Step 3: Cross multiply
    6,887.70x = 9,505.10 × 3,743.89
  4. Step 4: Simplify right side
    6,887.70x = 35,586,048.84
  5. Step 5: Solve for x
    x = 35,586,048.84/6,887.70
  6. Step 6: Final answer
    x = 5,166.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.