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Finding the Fourth Proportional to 5,728.86, 7,905.96 and 3,210.85

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Solution

The fourth proportional to 5,728.86, 7,905.96 and 3,210.85 is: 4,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.86 : 7,905.96 = 3,210.85 : x
  2. Step 2: Convert to fraction form
    5,728.86/7,905.96 = 3,210.85/x
  3. Step 3: Cross multiply
    5,728.86x = 7,905.96 × 3,210.85
  4. Step 4: Simplify right side
    5,728.86x = 25,384,861.55
  5. Step 5: Solve for x
    x = 25,384,861.55/5,728.86
  6. Step 6: Final answer
    x = 4,431.05

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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.