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Finding the Fourth Proportional to 31,650.80, 47,477.16 and 10,874

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Solution

The fourth proportional to 31,650.80, 47,477.16 and 10,874 is: 16,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.80 : 47,477.16 = 10,874 : x
  2. Step 2: Convert to fraction form
    31,650.80/47,477.16 = 10,874/x
  3. Step 3: Cross multiply
    31,650.80x = 47,477.16 × 10,874
  4. Step 4: Simplify right side
    31,650.80x = 516,266,637.84
  5. Step 5: Solve for x
    x = 516,266,637.84/31,650.80
  6. Step 6: Final answer
    x = 16,311.33

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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.