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Finding the Fourth Proportional to 8,661.84, 12,984.12 and 4,272.72

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Solution

The fourth proportional to 8,661.84, 12,984.12 and 4,272.72 is: 6,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.84 : 12,984.12 = 4,272.72 : x
  2. Step 2: Convert to fraction form
    8,661.84/12,984.12 = 4,272.72/x
  3. Step 3: Cross multiply
    8,661.84x = 12,984.12 × 4,272.72
  4. Step 4: Simplify right side
    8,661.84x = 55,477,509.21
  5. Step 5: Solve for x
    x = 55,477,509.21/8,661.84
  6. Step 6: Final answer
    x = 6,404.82

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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.