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Finding the Fourth Proportional to 20,603.80, 30,915.30 and 15,419.80

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Solution

The fourth proportional to 20,603.80, 30,915.30 and 15,419.80 is: 23,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.80 : 30,915.30 = 15,419.80 : x
  2. Step 2: Convert to fraction form
    20,603.80/30,915.30 = 15,419.80/x
  3. Step 3: Cross multiply
    20,603.80x = 30,915.30 × 15,419.80
  4. Step 4: Simplify right side
    20,603.80x = 476,707,742.94
  5. Step 5: Solve for x
    x = 476,707,742.94/20,603.80
  6. Step 6: Final answer
    x = 23,136.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.