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Finding the Fourth Proportional to 21,648, 29,874.24 and 11,712

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Solution

The fourth proportional to 21,648, 29,874.24 and 11,712 is: 16,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648 : 29,874.24 = 11,712 : x
  2. Step 2: Convert to fraction form
    21,648/29,874.24 = 11,712/x
  3. Step 3: Cross multiply
    21,648x = 29,874.24 × 11,712
  4. Step 4: Simplify right side
    21,648x = 349,887,098.88
  5. Step 5: Solve for x
    x = 349,887,098.88/21,648
  6. Step 6: Final answer
    x = 16,162.56

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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.