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Finding the Fourth Proportional to 21,184, 29,233.92 and 13,732

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Solution

The fourth proportional to 21,184, 29,233.92 and 13,732 is: 18,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184 : 29,233.92 = 13,732 : x
  2. Step 2: Convert to fraction form
    21,184/29,233.92 = 13,732/x
  3. Step 3: Cross multiply
    21,184x = 29,233.92 × 13,732
  4. Step 4: Simplify right side
    21,184x = 401,440,189.44
  5. Step 5: Solve for x
    x = 401,440,189.44/21,184
  6. Step 6: Final answer
    x = 18,950.16

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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.