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Finding the Fourth Proportional to 21,066.40, 29,073.54 and 11,638

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Solution

The fourth proportional to 21,066.40, 29,073.54 and 11,638 is: 16,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066.40 : 29,073.54 = 11,638 : x
  2. Step 2: Convert to fraction form
    21,066.40/29,073.54 = 11,638/x
  3. Step 3: Cross multiply
    21,066.40x = 29,073.54 × 11,638
  4. Step 4: Simplify right side
    21,066.40x = 338,357,858.52
  5. Step 5: Solve for x
    x = 338,357,858.52/21,066.40
  6. Step 6: Final answer
    x = 16,061.49

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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.