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Finding the Fourth Proportional to 6,178, 8,526.72 and 3,694

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Solution

The fourth proportional to 6,178, 8,526.72 and 3,694 is: 5,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 8,526.72 = 3,694 : x
  2. Step 2: Convert to fraction form
    6,178/8,526.72 = 3,694/x
  3. Step 3: Cross multiply
    6,178x = 8,526.72 × 3,694
  4. Step 4: Simplify right side
    6,178x = 31,497,703.68
  5. Step 5: Solve for x
    x = 31,497,703.68/6,178
  6. Step 6: Final answer
    x = 5,098.37

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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.