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Finding the Fourth Proportional to 21,290.88, 29,375.82 and 14,205

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Solution

The fourth proportional to 21,290.88, 29,375.82 and 14,205 is: 19,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290.88 : 29,375.82 = 14,205 : x
  2. Step 2: Convert to fraction form
    21,290.88/29,375.82 = 14,205/x
  3. Step 3: Cross multiply
    21,290.88x = 29,375.82 × 14,205
  4. Step 4: Simplify right side
    21,290.88x = 417,283,523.10
  5. Step 5: Solve for x
    x = 417,283,523.10/21,290.88
  6. Step 6: Final answer
    x = 19,599.17

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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.