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Finding the Fourth Proportional to 21,834.27, 30,142.76 and 14,701.69

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Solution

The fourth proportional to 21,834.27, 30,142.76 and 14,701.69 is: 20,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.27 : 30,142.76 = 14,701.69 : x
  2. Step 2: Convert to fraction form
    21,834.27/30,142.76 = 14,701.69/x
  3. Step 3: Cross multiply
    21,834.27x = 30,142.76 × 14,701.69
  4. Step 4: Simplify right side
    21,834.27x = 443,149,513.26
  5. Step 5: Solve for x
    x = 443,149,513.26/21,834.27
  6. Step 6: Final answer
    x = 20,296.05

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