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Finding the Fourth Proportional to 8,661.62, 12,989.24 and 3,113.48

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Solution

The fourth proportional to 8,661.62, 12,989.24 and 3,113.48 is: 4,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.62 : 12,989.24 = 3,113.48 : x
  2. Step 2: Convert to fraction form
    8,661.62/12,989.24 = 3,113.48/x
  3. Step 3: Cross multiply
    8,661.62x = 12,989.24 × 3,113.48
  4. Step 4: Simplify right side
    8,661.62x = 40,441,738.96
  5. Step 5: Solve for x
    x = 40,441,738.96/8,661.62
  6. Step 6: Final answer
    x = 4,669.07

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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.