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Finding the Fourth Proportional to 21,393.50, 29,523.11 and 11,962.04

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Solution

The fourth proportional to 21,393.50, 29,523.11 and 11,962.04 is: 16,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393.50 : 29,523.11 = 11,962.04 : x
  2. Step 2: Convert to fraction form
    21,393.50/29,523.11 = 11,962.04/x
  3. Step 3: Cross multiply
    21,393.50x = 29,523.11 × 11,962.04
  4. Step 4: Simplify right side
    21,393.50x = 353,156,415.32
  5. Step 5: Solve for x
    x = 353,156,415.32/21,393.50
  6. Step 6: Final answer
    x = 16,507.65

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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.