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Finding the Fourth Proportional to 5,406.64, 8,109.86 and 3,298.88

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Solution

The fourth proportional to 5,406.64, 8,109.86 and 3,298.88 is: 4,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.64 : 8,109.86 = 3,298.88 : x
  2. Step 2: Convert to fraction form
    5,406.64/8,109.86 = 3,298.88/x
  3. Step 3: Cross multiply
    5,406.64x = 8,109.86 × 3,298.88
  4. Step 4: Simplify right side
    5,406.64x = 26,753,458.74
  5. Step 5: Solve for x
    x = 26,753,458.74/5,406.64
  6. Step 6: Final answer
    x = 4,948.26

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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.