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Finding the Fourth Proportional to 21,730, 29,987.76 and 11,794

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Solution

The fourth proportional to 21,730, 29,987.76 and 11,794 is: 16,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730 : 29,987.76 = 11,794 : x
  2. Step 2: Convert to fraction form
    21,730/29,987.76 = 11,794/x
  3. Step 3: Cross multiply
    21,730x = 29,987.76 × 11,794
  4. Step 4: Simplify right side
    21,730x = 353,675,641.44
  5. Step 5: Solve for x
    x = 353,675,641.44/21,730
  6. Step 6: Final answer
    x = 16,275.92

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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.