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Finding the Fourth Proportional to 12,628.80, 18,927.20 and 4,827.20

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Solution

The fourth proportional to 12,628.80, 18,927.20 and 4,827.20 is: 7,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628.80 : 18,927.20 = 4,827.20 : x
  2. Step 2: Convert to fraction form
    12,628.80/18,927.20 = 4,827.20/x
  3. Step 3: Cross multiply
    12,628.80x = 18,927.20 × 4,827.20
  4. Step 4: Simplify right side
    12,628.80x = 91,365,379.84
  5. Step 5: Solve for x
    x = 91,365,379.84/12,628.80
  6. Step 6: Final answer
    x = 7,234.68

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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.