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Finding the Fourth Proportional to 31,803.63, 47,694.30 and 12,822.63

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Solution

The fourth proportional to 31,803.63, 47,694.30 and 12,822.63 is: 19,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.63 : 47,694.30 = 12,822.63 : x
  2. Step 2: Convert to fraction form
    31,803.63/47,694.30 = 12,822.63/x
  3. Step 3: Cross multiply
    31,803.63x = 47,694.30 × 12,822.63
  4. Step 4: Simplify right side
    31,803.63x = 611,566,362.01
  5. Step 5: Solve for x
    x = 611,566,362.01/31,803.63
  6. Step 6: Final answer
    x = 19,229.45

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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.