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Finding the Fourth Proportional to 11,740.96, 17,595 and 8,438.56

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Solution

The fourth proportional to 11,740.96, 17,595 and 8,438.56 is: 12,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.96 : 17,595 = 8,438.56 : x
  2. Step 2: Convert to fraction form
    11,740.96/17,595 = 8,438.56/x
  3. Step 3: Cross multiply
    11,740.96x = 17,595 × 8,438.56
  4. Step 4: Simplify right side
    11,740.96x = 148,476,463.20
  5. Step 5: Solve for x
    x = 148,476,463.20/11,740.96
  6. Step 6: Final answer
    x = 12,646.02

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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.