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Finding the Fourth Proportional to 21,082, 29,090.64 and 11,649.28

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Solution

The fourth proportional to 21,082, 29,090.64 and 11,649.28 is: 16,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082 : 29,090.64 = 11,649.28 : x
  2. Step 2: Convert to fraction form
    21,082/29,090.64 = 11,649.28/x
  3. Step 3: Cross multiply
    21,082x = 29,090.64 × 11,649.28
  4. Step 4: Simplify right side
    21,082x = 338,885,010.74
  5. Step 5: Solve for x
    x = 338,885,010.74/21,082
  6. Step 6: Final answer
    x = 16,074.61

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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.