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Finding the Fourth Proportional to 6,475.70, 8,936.37 and 3,642.86

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Solution

The fourth proportional to 6,475.70, 8,936.37 and 3,642.86 is: 5,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.70 : 8,936.37 = 3,642.86 : x
  2. Step 2: Convert to fraction form
    6,475.70/8,936.37 = 3,642.86/x
  3. Step 3: Cross multiply
    6,475.70x = 8,936.37 × 3,642.86
  4. Step 4: Simplify right side
    6,475.70x = 32,553,900.14
  5. Step 5: Solve for x
    x = 32,553,900.14/6,475.70
  6. Step 6: Final answer
    x = 5,027.09

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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.