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Finding the Fourth Proportional to 6,338.76, 8,749.38 and 3,687.24

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Solution

The fourth proportional to 6,338.76, 8,749.38 and 3,687.24 is: 5,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.76 : 8,749.38 = 3,687.24 : x
  2. Step 2: Convert to fraction form
    6,338.76/8,749.38 = 3,687.24/x
  3. Step 3: Cross multiply
    6,338.76x = 8,749.38 × 3,687.24
  4. Step 4: Simplify right side
    6,338.76x = 32,261,063.91
  5. Step 5: Solve for x
    x = 32,261,063.91/6,338.76
  6. Step 6: Final answer
    x = 5,089.49

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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.