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Finding the Fourth Proportional to 9,133.59, 13,692 and 3,288.78

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Solution

The fourth proportional to 9,133.59, 13,692 and 3,288.78 is: 4,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.59 : 13,692 = 3,288.78 : x
  2. Step 2: Convert to fraction form
    9,133.59/13,692 = 3,288.78/x
  3. Step 3: Cross multiply
    9,133.59x = 13,692 × 3,288.78
  4. Step 4: Simplify right side
    9,133.59x = 45,029,975.76
  5. Step 5: Solve for x
    x = 45,029,975.76/9,133.59
  6. Step 6: Final answer
    x = 4,930.15

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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.