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Finding the Fourth Proportional to 13,533, 18,677.34 and 7,944

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Solution

The fourth proportional to 13,533, 18,677.34 and 7,944 is: 10,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533 : 18,677.34 = 7,944 : x
  2. Step 2: Convert to fraction form
    13,533/18,677.34 = 7,944/x
  3. Step 3: Cross multiply
    13,533x = 18,677.34 × 7,944
  4. Step 4: Simplify right side
    13,533x = 148,372,788.96
  5. Step 5: Solve for x
    x = 148,372,788.96/13,533
  6. Step 6: Final answer
    x = 10,963.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.