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Finding the Fourth Proportional to 5,138.66, 7,662.86 and 5,091.89

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Solution

The fourth proportional to 5,138.66, 7,662.86 and 5,091.89 is: 7,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.66 : 7,662.86 = 5,091.89 : x
  2. Step 2: Convert to fraction form
    5,138.66/7,662.86 = 5,091.89/x
  3. Step 3: Cross multiply
    5,138.66x = 7,662.86 × 5,091.89
  4. Step 4: Simplify right side
    5,138.66x = 39,018,376.43
  5. Step 5: Solve for x
    x = 39,018,376.43/5,138.66
  6. Step 6: Final answer
    x = 7,593.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.