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Finding the Fourth Proportional to 14,152, 21,228 and 7,996.48

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Solution

The fourth proportional to 14,152, 21,228 and 7,996.48 is: 11,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152 : 21,228 = 7,996.48 : x
  2. Step 2: Convert to fraction form
    14,152/21,228 = 7,996.48/x
  3. Step 3: Cross multiply
    14,152x = 21,228 × 7,996.48
  4. Step 4: Simplify right side
    14,152x = 169,749,277.44
  5. Step 5: Solve for x
    x = 169,749,277.44/14,152
  6. Step 6: Final answer
    x = 11,994.72

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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.