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Finding the Fourth Proportional to 45,828, 68,753.52 and 12,996

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Solution

The fourth proportional to 45,828, 68,753.52 and 12,996 is: 19,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,828 : 68,753.52 = 12,996 : x
  2. Step 2: Convert to fraction form
    45,828/68,753.52 = 12,996/x
  3. Step 3: Cross multiply
    45,828x = 68,753.52 × 12,996
  4. Step 4: Simplify right side
    45,828x = 893,520,745.92
  5. Step 5: Solve for x
    x = 893,520,745.92/45,828
  6. Step 6: Final answer
    x = 19,497.27

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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.