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Finding the Fourth Proportional to 21,649.76, 29,871.50 and 14,933.24

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Solution

The fourth proportional to 21,649.76, 29,871.50 and 14,933.24 is: 20,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.76 : 29,871.50 = 14,933.24 : x
  2. Step 2: Convert to fraction form
    21,649.76/29,871.50 = 14,933.24/x
  3. Step 3: Cross multiply
    21,649.76x = 29,871.50 × 14,933.24
  4. Step 4: Simplify right side
    21,649.76x = 446,078,278.66
  5. Step 5: Solve for x
    x = 446,078,278.66/21,649.76
  6. Step 6: Final answer
    x = 20,604.31

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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.