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Finding the Fourth Proportional to 8,504.70, 12,750.36 and 4,120.98

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Solution

The fourth proportional to 8,504.70, 12,750.36 and 4,120.98 is: 6,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.70 : 12,750.36 = 4,120.98 : x
  2. Step 2: Convert to fraction form
    8,504.70/12,750.36 = 4,120.98/x
  3. Step 3: Cross multiply
    8,504.70x = 12,750.36 × 4,120.98
  4. Step 4: Simplify right side
    8,504.70x = 52,543,978.55
  5. Step 5: Solve for x
    x = 52,543,978.55/8,504.70
  6. Step 6: Final answer
    x = 6,178.23

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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.