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Finding the Fourth Proportional to 6,508.12, 9,749.16 and 3,909.64

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Solution

The fourth proportional to 6,508.12, 9,749.16 and 3,909.64 is: 5,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.12 : 9,749.16 = 3,909.64 : x
  2. Step 2: Convert to fraction form
    6,508.12/9,749.16 = 3,909.64/x
  3. Step 3: Cross multiply
    6,508.12x = 9,749.16 × 3,909.64
  4. Step 4: Simplify right side
    6,508.12x = 38,115,705.90
  5. Step 5: Solve for x
    x = 38,115,705.90/6,508.12
  6. Step 6: Final answer
    x = 5,856.64

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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.