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Finding the Fourth Proportional to 8,485.76, 12,711.64 and 4,325.60

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Solution

The fourth proportional to 8,485.76, 12,711.64 and 4,325.60 is: 6,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.76 : 12,711.64 = 4,325.60 : x
  2. Step 2: Convert to fraction form
    8,485.76/12,711.64 = 4,325.60/x
  3. Step 3: Cross multiply
    8,485.76x = 12,711.64 × 4,325.60
  4. Step 4: Simplify right side
    8,485.76x = 54,985,469.98
  5. Step 5: Solve for x
    x = 54,985,469.98/8,485.76
  6. Step 6: Final answer
    x = 6,479.73

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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.