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Finding the Fourth Proportional to 8,438.35, 12,660.09 and 5,977.93

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Solution

The fourth proportional to 8,438.35, 12,660.09 and 5,977.93 is: 8,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.35 : 12,660.09 = 5,977.93 : x
  2. Step 2: Convert to fraction form
    8,438.35/12,660.09 = 5,977.93/x
  3. Step 3: Cross multiply
    8,438.35x = 12,660.09 × 5,977.93
  4. Step 4: Simplify right side
    8,438.35x = 75,681,131.81
  5. Step 5: Solve for x
    x = 75,681,131.81/8,438.35
  6. Step 6: Final answer
    x = 8,968.71

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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.