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Finding the Fourth Proportional to 15,999, 23,996.88 and 4,313.40

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Solution

The fourth proportional to 15,999, 23,996.88 and 4,313.40 is: 6,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999 : 23,996.88 = 4,313.40 : x
  2. Step 2: Convert to fraction form
    15,999/23,996.88 = 4,313.40/x
  3. Step 3: Cross multiply
    15,999x = 23,996.88 × 4,313.40
  4. Step 4: Simplify right side
    15,999x = 103,508,142.19
  5. Step 5: Solve for x
    x = 103,508,142.19/15,999
  6. Step 6: Final answer
    x = 6,469.66

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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.