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Finding the Fourth Proportional to 9,288, 13,932 and 3,132

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Solution

The fourth proportional to 9,288, 13,932 and 3,132 is: 4,698

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288 : 13,932 = 3,132 : x
  2. Step 2: Convert to fraction form
    9,288/13,932 = 3,132/x
  3. Step 3: Cross multiply
    9,288x = 13,932 × 3,132
  4. Step 4: Simplify right side
    9,288x = 43,635,024
  5. Step 5: Solve for x
    x = 43,635,024/9,288
  6. Step 6: Final answer
    x = 4,698

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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.