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Finding the Fourth Proportional to 8,402.60, 12,596.10 and 3,720.11

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Solution

The fourth proportional to 8,402.60, 12,596.10 and 3,720.11 is: 5,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.60 : 12,596.10 = 3,720.11 : x
  2. Step 2: Convert to fraction form
    8,402.60/12,596.10 = 3,720.11/x
  3. Step 3: Cross multiply
    8,402.60x = 12,596.10 × 3,720.11
  4. Step 4: Simplify right side
    8,402.60x = 46,858,795.99
  5. Step 5: Solve for x
    x = 46,858,795.99/8,402.60
  6. Step 6: Final answer
    x = 5,576.71

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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.