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Finding the Fourth Proportional to 6,484.96, 9,723.18 and 3,200.20

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Solution

The fourth proportional to 6,484.96, 9,723.18 and 3,200.20 is: 4,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.96 : 9,723.18 = 3,200.20 : x
  2. Step 2: Convert to fraction form
    6,484.96/9,723.18 = 3,200.20/x
  3. Step 3: Cross multiply
    6,484.96x = 9,723.18 × 3,200.20
  4. Step 4: Simplify right side
    6,484.96x = 31,116,120.64
  5. Step 5: Solve for x
    x = 31,116,120.64/6,484.96
  6. Step 6: Final answer
    x = 4,798.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.