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Finding the Fourth Proportional to 9,936, 13,711.84 and 5,520

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Solution

The fourth proportional to 9,936, 13,711.84 and 5,520 is: 7,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936 : 13,711.84 = 5,520 : x
  2. Step 2: Convert to fraction form
    9,936/13,711.84 = 5,520/x
  3. Step 3: Cross multiply
    9,936x = 13,711.84 × 5,520
  4. Step 4: Simplify right side
    9,936x = 75,689,356.80
  5. Step 5: Solve for x
    x = 75,689,356.80/9,936
  6. Step 6: Final answer
    x = 7,617.69

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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.