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Finding the Fourth Proportional to 20,262.74, 27,963.99 and 11,312

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Solution

The fourth proportional to 20,262.74, 27,963.99 and 11,312 is: 15,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.74 : 27,963.99 = 11,312 : x
  2. Step 2: Convert to fraction form
    20,262.74/27,963.99 = 11,312/x
  3. Step 3: Cross multiply
    20,262.74x = 27,963.99 × 11,312
  4. Step 4: Simplify right side
    20,262.74x = 316,328,654.88
  5. Step 5: Solve for x
    x = 316,328,654.88/20,262.74
  6. Step 6: Final answer
    x = 15,611.35

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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.