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Finding the Fourth Proportional to 21,642, 29,866.68 and 13,256.88

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Solution

The fourth proportional to 21,642, 29,866.68 and 13,256.88 is: 18,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642 : 29,866.68 = 13,256.88 : x
  2. Step 2: Convert to fraction form
    21,642/29,866.68 = 13,256.88/x
  3. Step 3: Cross multiply
    21,642x = 29,866.68 × 13,256.88
  4. Step 4: Simplify right side
    21,642x = 395,938,992.76
  5. Step 5: Solve for x
    x = 395,938,992.76/21,642
  6. Step 6: Final answer
    x = 18,294.94

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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.