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Finding the Fourth Proportional to 14,321.12, 21,487.84 and 7,752

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Solution

The fourth proportional to 14,321.12, 21,487.84 and 7,752 is: 11,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.12 : 21,487.84 = 7,752 : x
  2. Step 2: Convert to fraction form
    14,321.12/21,487.84 = 7,752/x
  3. Step 3: Cross multiply
    14,321.12x = 21,487.84 × 7,752
  4. Step 4: Simplify right side
    14,321.12x = 166,573,735.68
  5. Step 5: Solve for x
    x = 166,573,735.68/14,321.12
  6. Step 6: Final answer
    x = 11,631.33

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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.