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Finding the Fourth Proportional to 21,163.68, 31,720.50 and 8,007.48

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Solution

The fourth proportional to 21,163.68, 31,720.50 and 8,007.48 is: 12,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.68 : 31,720.50 = 8,007.48 : x
  2. Step 2: Convert to fraction form
    21,163.68/31,720.50 = 8,007.48/x
  3. Step 3: Cross multiply
    21,163.68x = 31,720.50 × 8,007.48
  4. Step 4: Simplify right side
    21,163.68x = 254,001,269.34
  5. Step 5: Solve for x
    x = 254,001,269.34/21,163.68
  6. Step 6: Final answer
    x = 12,001.75

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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.