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Finding the Fourth Proportional to 47,863.95, 71,796 and 12,803.61

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Solution

The fourth proportional to 47,863.95, 71,796 and 12,803.61 is: 19,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,863.95 : 71,796 = 12,803.61 : x
  2. Step 2: Convert to fraction form
    47,863.95/71,796 = 12,803.61/x
  3. Step 3: Cross multiply
    47,863.95x = 71,796 × 12,803.61
  4. Step 4: Simplify right side
    47,863.95x = 919,247,983.56
  5. Step 5: Solve for x
    x = 919,247,983.56/47,863.95
  6. Step 6: Final answer
    x = 19,205.44

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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.