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Finding the Fourth Proportional to 12,405.60, 18,610.80 and 3,640.80

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Solution

The fourth proportional to 12,405.60, 18,610.80 and 3,640.80 is: 5,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.60 : 18,610.80 = 3,640.80 : x
  2. Step 2: Convert to fraction form
    12,405.60/18,610.80 = 3,640.80/x
  3. Step 3: Cross multiply
    12,405.60x = 18,610.80 × 3,640.80
  4. Step 4: Simplify right side
    12,405.60x = 67,758,200.64
  5. Step 5: Solve for x
    x = 67,758,200.64/12,405.60
  6. Step 6: Final answer
    x = 5,461.90

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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.