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Finding the Fourth Proportional to 21,221.84, 31,676.98 and 19,658

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Solution

The fourth proportional to 21,221.84, 31,676.98 and 19,658 is: 29,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.84 : 31,676.98 = 19,658 : x
  2. Step 2: Convert to fraction form
    21,221.84/31,676.98 = 19,658/x
  3. Step 3: Cross multiply
    21,221.84x = 31,676.98 × 19,658
  4. Step 4: Simplify right side
    21,221.84x = 622,706,072.84
  5. Step 5: Solve for x
    x = 622,706,072.84/21,221.84
  6. Step 6: Final answer
    x = 29,342.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.