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Finding the Fourth Proportional to 43,635.54, 65,455.74 and 12,471.60

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Solution

The fourth proportional to 43,635.54, 65,455.74 and 12,471.60 is: 18,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,635.54 : 65,455.74 = 12,471.60 : x
  2. Step 2: Convert to fraction form
    43,635.54/65,455.74 = 12,471.60/x
  3. Step 3: Cross multiply
    43,635.54x = 65,455.74 × 12,471.60
  4. Step 4: Simplify right side
    43,635.54x = 816,337,806.98
  5. Step 5: Solve for x
    x = 816,337,806.98/43,635.54
  6. Step 6: Final answer
    x = 18,708.09

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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.