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Finding the Fourth Proportional to 8,420, 12,633.36 and 4,257.76

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Solution

The fourth proportional to 8,420, 12,633.36 and 4,257.76 is: 6,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 12,633.36 = 4,257.76 : x
  2. Step 2: Convert to fraction form
    8,420/12,633.36 = 4,257.76/x
  3. Step 3: Cross multiply
    8,420x = 12,633.36 × 4,257.76
  4. Step 4: Simplify right side
    8,420x = 53,789,814.87
  5. Step 5: Solve for x
    x = 53,789,814.87/8,420
  6. Step 6: Final answer
    x = 6,388.34

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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.