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Finding the Fourth Proportional to 21,672, 29,904.96 and 12,238.56

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Solution

The fourth proportional to 21,672, 29,904.96 and 12,238.56 is: 16,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672 : 29,904.96 = 12,238.56 : x
  2. Step 2: Convert to fraction form
    21,672/29,904.96 = 12,238.56/x
  3. Step 3: Cross multiply
    21,672x = 29,904.96 × 12,238.56
  4. Step 4: Simplify right side
    21,672x = 365,993,647.26
  5. Step 5: Solve for x
    x = 365,993,647.26/21,672
  6. Step 6: Final answer
    x = 16,887.86

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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.