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Finding the Fourth Proportional to 22,611, 31,203.18 and 13,779

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Solution

The fourth proportional to 22,611, 31,203.18 and 13,779 is: 19,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611 : 31,203.18 = 13,779 : x
  2. Step 2: Convert to fraction form
    22,611/31,203.18 = 13,779/x
  3. Step 3: Cross multiply
    22,611x = 31,203.18 × 13,779
  4. Step 4: Simplify right side
    22,611x = 429,948,617.22
  5. Step 5: Solve for x
    x = 429,948,617.22/22,611
  6. Step 6: Final answer
    x = 19,015.02

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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.