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Finding the Fourth Proportional to 6,297.44, 8,689.92 and 3,645

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Solution

The fourth proportional to 6,297.44, 8,689.92 and 3,645 is: 5,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.44 : 8,689.92 = 3,645 : x
  2. Step 2: Convert to fraction form
    6,297.44/8,689.92 = 3,645/x
  3. Step 3: Cross multiply
    6,297.44x = 8,689.92 × 3,645
  4. Step 4: Simplify right side
    6,297.44x = 31,674,758.40
  5. Step 5: Solve for x
    x = 31,674,758.40/6,297.44
  6. Step 6: Final answer
    x = 5,029.78

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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.