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Finding the Fourth Proportional to 21,456, 29,618.97 and 13,509.90

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Solution

The fourth proportional to 21,456, 29,618.97 and 13,509.90 is: 18,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456 : 29,618.97 = 13,509.90 : x
  2. Step 2: Convert to fraction form
    21,456/29,618.97 = 13,509.90/x
  3. Step 3: Cross multiply
    21,456x = 29,618.97 × 13,509.90
  4. Step 4: Simplify right side
    21,456x = 400,149,322.80
  5. Step 5: Solve for x
    x = 400,149,322.80/21,456
  6. Step 6: Final answer
    x = 18,649.76

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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.