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Finding the Fourth Proportional to 43,671, 65,516.40 and 15,969

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Solution

The fourth proportional to 43,671, 65,516.40 and 15,969 is: 23,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,671 : 65,516.40 = 15,969 : x
  2. Step 2: Convert to fraction form
    43,671/65,516.40 = 15,969/x
  3. Step 3: Cross multiply
    43,671x = 65,516.40 × 15,969
  4. Step 4: Simplify right side
    43,671x = 1,046,231,391.60
  5. Step 5: Solve for x
    x = 1,046,231,391.60/43,671
  6. Step 6: Final answer
    x = 23,957.12

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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.