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Finding the Fourth Proportional to 31,797.77, 47,697.26 and 8,424

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Solution

The fourth proportional to 31,797.77, 47,697.26 and 8,424 is: 12,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.77 : 47,697.26 = 8,424 : x
  2. Step 2: Convert to fraction form
    31,797.77/47,697.26 = 8,424/x
  3. Step 3: Cross multiply
    31,797.77x = 47,697.26 × 8,424
  4. Step 4: Simplify right side
    31,797.77x = 401,801,676.12
  5. Step 5: Solve for x
    x = 401,801,676.12/31,797.77
  6. Step 6: Final answer
    x = 12,636.16

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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.