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Finding the Fourth Proportional to 28,468.50, 42,702.75 and 7,692

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Solution

The fourth proportional to 28,468.50, 42,702.75 and 7,692 is: 11,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,468.50 : 42,702.75 = 7,692 : x
  2. Step 2: Convert to fraction form
    28,468.50/42,702.75 = 7,692/x
  3. Step 3: Cross multiply
    28,468.50x = 42,702.75 × 7,692
  4. Step 4: Simplify right side
    28,468.50x = 328,469,553
  5. Step 5: Solve for x
    x = 328,469,553/28,468.50
  6. Step 6: Final answer
    x = 11,538

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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.