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Finding the Fourth Proportional to 20,153, 27,811.14 and 11,321

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Solution

The fourth proportional to 20,153, 27,811.14 and 11,321 is: 15,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153 : 27,811.14 = 11,321 : x
  2. Step 2: Convert to fraction form
    20,153/27,811.14 = 11,321/x
  3. Step 3: Cross multiply
    20,153x = 27,811.14 × 11,321
  4. Step 4: Simplify right side
    20,153x = 314,849,915.94
  5. Step 5: Solve for x
    x = 314,849,915.94/20,153
  6. Step 6: Final answer
    x = 15,622.98

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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.