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Finding the Fourth Proportional to 21,351, 29,464.82 and 11,790.86

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Solution

The fourth proportional to 21,351, 29,464.82 and 11,790.86 is: 16,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351 : 29,464.82 = 11,790.86 : x
  2. Step 2: Convert to fraction form
    21,351/29,464.82 = 11,790.86/x
  3. Step 3: Cross multiply
    21,351x = 29,464.82 × 11,790.86
  4. Step 4: Simplify right side
    21,351x = 347,415,567.55
  5. Step 5: Solve for x
    x = 347,415,567.55/21,351
  6. Step 6: Final answer
    x = 16,271.63

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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.