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Finding the Fourth Proportional to 21,000.63, 31,481.49 and 7,842.99

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Solution

The fourth proportional to 21,000.63, 31,481.49 and 7,842.99 is: 11,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.63 : 31,481.49 = 7,842.99 : x
  2. Step 2: Convert to fraction form
    21,000.63/31,481.49 = 7,842.99/x
  3. Step 3: Cross multiply
    21,000.63x = 31,481.49 × 7,842.99
  4. Step 4: Simplify right side
    21,000.63x = 246,909,011.26
  5. Step 5: Solve for x
    x = 246,909,011.26/21,000.63
  6. Step 6: Final answer
    x = 11,757.22

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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.