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Finding the Fourth Proportional to 15,843, 23,760.72 and 5,313.39

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Solution

The fourth proportional to 15,843, 23,760.72 and 5,313.39 is: 7,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843 : 23,760.72 = 5,313.39 : x
  2. Step 2: Convert to fraction form
    15,843/23,760.72 = 5,313.39/x
  3. Step 3: Cross multiply
    15,843x = 23,760.72 × 5,313.39
  4. Step 4: Simplify right side
    15,843x = 126,249,972.04
  5. Step 5: Solve for x
    x = 126,249,972.04/15,843
  6. Step 6: Final answer
    x = 7,968.82

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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.