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Finding the Fourth Proportional to 20,117.90, 27,763 and 11,165.98

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Solution

The fourth proportional to 20,117.90, 27,763 and 11,165.98 is: 15,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.90 : 27,763 = 11,165.98 : x
  2. Step 2: Convert to fraction form
    20,117.90/27,763 = 11,165.98/x
  3. Step 3: Cross multiply
    20,117.90x = 27,763 × 11,165.98
  4. Step 4: Simplify right side
    20,117.90x = 310,001,102.74
  5. Step 5: Solve for x
    x = 310,001,102.74/20,117.90
  6. Step 6: Final answer
    x = 15,409.22

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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.