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Finding the Fourth Proportional to 19,692, 29,538 and 5,100

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Solution

The fourth proportional to 19,692, 29,538 and 5,100 is: 7,650

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692 : 29,538 = 5,100 : x
  2. Step 2: Convert to fraction form
    19,692/29,538 = 5,100/x
  3. Step 3: Cross multiply
    19,692x = 29,538 × 5,100
  4. Step 4: Simplify right side
    19,692x = 150,643,800
  5. Step 5: Solve for x
    x = 150,643,800/19,692
  6. Step 6: Final answer
    x = 7,650

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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.