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Finding the Fourth Proportional to 7,752.42, 11,628.38 and 3,369.87

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Solution

The fourth proportional to 7,752.42, 11,628.38 and 3,369.87 is: 5,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.42 : 11,628.38 = 3,369.87 : x
  2. Step 2: Convert to fraction form
    7,752.42/11,628.38 = 3,369.87/x
  3. Step 3: Cross multiply
    7,752.42x = 11,628.38 × 3,369.87
  4. Step 4: Simplify right side
    7,752.42x = 39,186,112.06
  5. Step 5: Solve for x
    x = 39,186,112.06/7,752.42
  6. Step 6: Final answer
    x = 5,054.69

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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.