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Finding the Fourth Proportional to 8,402.80, 12,605.64 and 3,469.72

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Solution

The fourth proportional to 8,402.80, 12,605.64 and 3,469.72 is: 5,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.80 : 12,605.64 = 3,469.72 : x
  2. Step 2: Convert to fraction form
    8,402.80/12,605.64 = 3,469.72/x
  3. Step 3: Cross multiply
    8,402.80x = 12,605.64 × 3,469.72
  4. Step 4: Simplify right side
    8,402.80x = 43,738,041.22
  5. Step 5: Solve for x
    x = 43,738,041.22/8,402.80
  6. Step 6: Final answer
    x = 5,205.17

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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.