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Finding the Fourth Proportional to 8,461.72, 12,684.95 and 4,016.64

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Solution

The fourth proportional to 8,461.72, 12,684.95 and 4,016.64 is: 6,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.72 : 12,684.95 = 4,016.64 : x
  2. Step 2: Convert to fraction form
    8,461.72/12,684.95 = 4,016.64/x
  3. Step 3: Cross multiply
    8,461.72x = 12,684.95 × 4,016.64
  4. Step 4: Simplify right side
    8,461.72x = 50,950,877.57
  5. Step 5: Solve for x
    x = 50,950,877.57/8,461.72
  6. Step 6: Final answer
    x = 6,021.34

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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.