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Finding the Fourth Proportional to 9,432, 14,153.76 and 3,960

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Solution

The fourth proportional to 9,432, 14,153.76 and 3,960 is: 5,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432 : 14,153.76 = 3,960 : x
  2. Step 2: Convert to fraction form
    9,432/14,153.76 = 3,960/x
  3. Step 3: Cross multiply
    9,432x = 14,153.76 × 3,960
  4. Step 4: Simplify right side
    9,432x = 56,048,889.60
  5. Step 5: Solve for x
    x = 56,048,889.60/9,432
  6. Step 6: Final answer
    x = 5,942.42

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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.