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Finding the Fourth Proportional to 21,656.81, 29,886.50 and 11,720.81

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Solution

The fourth proportional to 21,656.81, 29,886.50 and 11,720.81 is: 16,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.81 : 29,886.50 = 11,720.81 : x
  2. Step 2: Convert to fraction form
    21,656.81/29,886.50 = 11,720.81/x
  3. Step 3: Cross multiply
    21,656.81x = 29,886.50 × 11,720.81
  4. Step 4: Simplify right side
    21,656.81x = 350,294,092.08
  5. Step 5: Solve for x
    x = 350,294,092.08/21,656.81
  6. Step 6: Final answer
    x = 16,174.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.