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Finding the Fourth Proportional to 6,264.32, 8,644.64 and 3,469.76

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Solution

The fourth proportional to 6,264.32, 8,644.64 and 3,469.76 is: 4,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.32 : 8,644.64 = 3,469.76 : x
  2. Step 2: Convert to fraction form
    6,264.32/8,644.64 = 3,469.76/x
  3. Step 3: Cross multiply
    6,264.32x = 8,644.64 × 3,469.76
  4. Step 4: Simplify right side
    6,264.32x = 29,994,826.09
  5. Step 5: Solve for x
    x = 29,994,826.09/6,264.32
  6. Step 6: Final answer
    x = 4,788.20

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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.