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Finding the Fourth Proportional to 20,516, 30,773.94 and 15,842.84

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Solution

The fourth proportional to 20,516, 30,773.94 and 15,842.84 is: 23,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516 : 30,773.94 = 15,842.84 : x
  2. Step 2: Convert to fraction form
    20,516/30,773.94 = 15,842.84/x
  3. Step 3: Cross multiply
    20,516x = 30,773.94 × 15,842.84
  4. Step 4: Simplify right side
    20,516x = 487,546,607.59
  5. Step 5: Solve for x
    x = 487,546,607.59/20,516
  6. Step 6: Final answer
    x = 23,764.21

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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.