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Finding the Fourth Proportional to 20,891, 28,829.58 and 11,459.59

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Solution

The fourth proportional to 20,891, 28,829.58 and 11,459.59 is: 15,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891 : 28,829.58 = 11,459.59 : x
  2. Step 2: Convert to fraction form
    20,891/28,829.58 = 11,459.59/x
  3. Step 3: Cross multiply
    20,891x = 28,829.58 × 11,459.59
  4. Step 4: Simplify right side
    20,891x = 330,375,166.67
  5. Step 5: Solve for x
    x = 330,375,166.67/20,891
  6. Step 6: Final answer
    x = 15,814.23

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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.