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Finding the Fourth Proportional to 6,429.88, 9,646.11 and 2,732.08

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Solution

The fourth proportional to 6,429.88, 9,646.11 and 2,732.08 is: 4,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.88 : 9,646.11 = 2,732.08 : x
  2. Step 2: Convert to fraction form
    6,429.88/9,646.11 = 2,732.08/x
  3. Step 3: Cross multiply
    6,429.88x = 9,646.11 × 2,732.08
  4. Step 4: Simplify right side
    6,429.88x = 26,353,944.21
  5. Step 5: Solve for x
    x = 26,353,944.21/6,429.88
  6. Step 6: Final answer
    x = 4,098.67

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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.