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Finding the Fourth Proportional to 8,440.64, 12,648 and 3,243.68

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Solution

The fourth proportional to 8,440.64, 12,648 and 3,243.68 is: 4,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.64 : 12,648 = 3,243.68 : x
  2. Step 2: Convert to fraction form
    8,440.64/12,648 = 3,243.68/x
  3. Step 3: Cross multiply
    8,440.64x = 12,648 × 3,243.68
  4. Step 4: Simplify right side
    8,440.64x = 41,026,064.64
  5. Step 5: Solve for x
    x = 41,026,064.64/8,440.64
  6. Step 6: Final answer
    x = 4,860.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.