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Finding the Fourth Proportional to 8,495.89, 11,724.89 and 5,138.84

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Solution

The fourth proportional to 8,495.89, 11,724.89 and 5,138.84 is: 7,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.89 : 11,724.89 = 5,138.84 : x
  2. Step 2: Convert to fraction form
    8,495.89/11,724.89 = 5,138.84/x
  3. Step 3: Cross multiply
    8,495.89x = 11,724.89 × 5,138.84
  4. Step 4: Simplify right side
    8,495.89x = 60,252,337.35
  5. Step 5: Solve for x
    x = 60,252,337.35/8,495.89
  6. Step 6: Final answer
    x = 7,091.94

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1.5x scale

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.