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Finding the Fourth Proportional to 21,350, 29,462.94 and 12,402.68

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Solution

The fourth proportional to 21,350, 29,462.94 and 12,402.68 is: 17,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350 : 29,462.94 = 12,402.68 : x
  2. Step 2: Convert to fraction form
    21,350/29,462.94 = 12,402.68/x
  3. Step 3: Cross multiply
    21,350x = 29,462.94 × 12,402.68
  4. Step 4: Simplify right side
    21,350x = 365,419,416.68
  5. Step 5: Solve for x
    x = 365,419,416.68/21,350
  6. Step 6: Final answer
    x = 17,115.66

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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.