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Finding the Fourth Proportional to 30,940.75, 42,698.87 and 17,512

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Solution

The fourth proportional to 30,940.75, 42,698.87 and 17,512 is: 24,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.75 : 42,698.87 = 17,512 : x
  2. Step 2: Convert to fraction form
    30,940.75/42,698.87 = 17,512/x
  3. Step 3: Cross multiply
    30,940.75x = 42,698.87 × 17,512
  4. Step 4: Simplify right side
    30,940.75x = 747,742,611.44
  5. Step 5: Solve for x
    x = 747,742,611.44/30,940.75
  6. Step 6: Final answer
    x = 24,166.92

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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.