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Finding the Fourth Proportional to 6,406.29, 9,609.03 and 3,807

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Solution

The fourth proportional to 6,406.29, 9,609.03 and 3,807 is: 5,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.29 : 9,609.03 = 3,807 : x
  2. Step 2: Convert to fraction form
    6,406.29/9,609.03 = 3,807/x
  3. Step 3: Cross multiply
    6,406.29x = 9,609.03 × 3,807
  4. Step 4: Simplify right side
    6,406.29x = 36,581,577.21
  5. Step 5: Solve for x
    x = 36,581,577.21/6,406.29
  6. Step 6: Final answer
    x = 5,710.26

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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.