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Finding the Fourth Proportional to 20,201, 27,877.50 and 11,369

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Solution

The fourth proportional to 20,201, 27,877.50 and 11,369 is: 15,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201 : 27,877.50 = 11,369 : x
  2. Step 2: Convert to fraction form
    20,201/27,877.50 = 11,369/x
  3. Step 3: Cross multiply
    20,201x = 27,877.50 × 11,369
  4. Step 4: Simplify right side
    20,201x = 316,939,297.50
  5. Step 5: Solve for x
    x = 316,939,297.50/20,201
  6. Step 6: Final answer
    x = 15,689.29

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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.