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Finding the Fourth Proportional to 8,538, 11,792.16 and 5,738.64

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Solution

The fourth proportional to 8,538, 11,792.16 and 5,738.64 is: 7,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538 : 11,792.16 = 5,738.64 : x
  2. Step 2: Convert to fraction form
    8,538/11,792.16 = 5,738.64/x
  3. Step 3: Cross multiply
    8,538x = 11,792.16 × 5,738.64
  4. Step 4: Simplify right side
    8,538x = 67,670,961.06
  5. Step 5: Solve for x
    x = 67,670,961.06/8,538
  6. Step 6: Final answer
    x = 7,925.86

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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.