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Finding the Fourth Proportional to 5,905.38, 8,814.87 and 5,204.78

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Solution

The fourth proportional to 5,905.38, 8,814.87 and 5,204.78 is: 7,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.38 : 8,814.87 = 5,204.78 : x
  2. Step 2: Convert to fraction form
    5,905.38/8,814.87 = 5,204.78/x
  3. Step 3: Cross multiply
    5,905.38x = 8,814.87 × 5,204.78
  4. Step 4: Simplify right side
    5,905.38x = 45,879,415.00
  5. Step 5: Solve for x
    x = 45,879,415.00/5,905.38
  6. Step 6: Final answer
    x = 7,769.09

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1.5x scale

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.