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Finding the Fourth Proportional to 6,342.37, 8,751.45 and 3,982.84

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Solution

The fourth proportional to 6,342.37, 8,751.45 and 3,982.84 is: 5,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.37 : 8,751.45 = 3,982.84 : x
  2. Step 2: Convert to fraction form
    6,342.37/8,751.45 = 3,982.84/x
  3. Step 3: Cross multiply
    6,342.37x = 8,751.45 × 3,982.84
  4. Step 4: Simplify right side
    6,342.37x = 34,855,625.12
  5. Step 5: Solve for x
    x = 34,855,625.12/6,342.37
  6. Step 6: Final answer
    x = 5,495.68

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1.5x scale

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.