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Finding the Fourth Proportional to 5,728.76, 7,899.45 and 4,976.27

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Solution

The fourth proportional to 5,728.76, 7,899.45 and 4,976.27 is: 6,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.76 : 7,899.45 = 4,976.27 : x
  2. Step 2: Convert to fraction form
    5,728.76/7,899.45 = 4,976.27/x
  3. Step 3: Cross multiply
    5,728.76x = 7,899.45 × 4,976.27
  4. Step 4: Simplify right side
    5,728.76x = 39,309,796.05
  5. Step 5: Solve for x
    x = 39,309,796.05/5,728.76
  6. Step 6: Final answer
    x = 6,861.83

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Half scale
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Double scale
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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.