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Finding the Fourth Proportional to 31,792.92, 47,692.08 and 8,419.02

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Solution

The fourth proportional to 31,792.92, 47,692.08 and 8,419.02 is: 12,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.92 : 47,692.08 = 8,419.02 : x
  2. Step 2: Convert to fraction form
    31,792.92/47,692.08 = 8,419.02/x
  3. Step 3: Cross multiply
    31,792.92x = 47,692.08 × 8,419.02
  4. Step 4: Simplify right side
    31,792.92x = 401,520,575.36
  5. Step 5: Solve for x
    x = 401,520,575.36/31,792.92
  6. Step 6: Final answer
    x = 12,629.24

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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.