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Finding the Fourth Proportional to 21,092, 31,643.29 and 6,300.86

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Solution

The fourth proportional to 21,092, 31,643.29 and 6,300.86 is: 9,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092 : 31,643.29 = 6,300.86 : x
  2. Step 2: Convert to fraction form
    21,092/31,643.29 = 6,300.86/x
  3. Step 3: Cross multiply
    21,092x = 31,643.29 × 6,300.86
  4. Step 4: Simplify right side
    21,092x = 199,379,940.23
  5. Step 5: Solve for x
    x = 199,379,940.23/21,092
  6. Step 6: Final answer
    x = 9,452.87

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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.