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Finding the Fourth Proportional to 6,231, 8,598.78 and 3,747

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Solution

The fourth proportional to 6,231, 8,598.78 and 3,747 is: 5,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231 : 8,598.78 = 3,747 : x
  2. Step 2: Convert to fraction form
    6,231/8,598.78 = 3,747/x
  3. Step 3: Cross multiply
    6,231x = 8,598.78 × 3,747
  4. Step 4: Simplify right side
    6,231x = 32,219,628.66
  5. Step 5: Solve for x
    x = 32,219,628.66/6,231
  6. Step 6: Final answer
    x = 5,170.86

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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.