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Finding the Fourth Proportional to 21,347.44, 29,459.50 and 11,916

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Solution

The fourth proportional to 21,347.44, 29,459.50 and 11,916 is: 16,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.44 : 29,459.50 = 11,916 : x
  2. Step 2: Convert to fraction form
    21,347.44/29,459.50 = 11,916/x
  3. Step 3: Cross multiply
    21,347.44x = 29,459.50 × 11,916
  4. Step 4: Simplify right side
    21,347.44x = 351,039,372.21
  5. Step 5: Solve for x
    x = 351,039,372.21/21,347.44
  6. Step 6: Final answer
    x = 16,444.10

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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.