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Finding the Fourth Proportional to 21,625, 29,842.66 and 13,247.08

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Solution

The fourth proportional to 21,625, 29,842.66 and 13,247.08 is: 18,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,625 : 29,842.66 = 13,247.08 : x
  2. Step 2: Convert to fraction form
    21,625/29,842.66 = 13,247.08/x
  3. Step 3: Cross multiply
    21,625x = 29,842.66 × 13,247.08
  4. Step 4: Simplify right side
    21,625x = 395,328,104.43
  5. Step 5: Solve for x
    x = 395,328,104.43/21,625
  6. Step 6: Final answer
    x = 18,281.07

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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.