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Finding the Fourth Proportional to 6,419.88, 9,632.21 and 3,926.18

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Solution

The fourth proportional to 6,419.88, 9,632.21 and 3,926.18 is: 5,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.88 : 9,632.21 = 3,926.18 : x
  2. Step 2: Convert to fraction form
    6,419.88/9,632.21 = 3,926.18/x
  3. Step 3: Cross multiply
    6,419.88x = 9,632.21 × 3,926.18
  4. Step 4: Simplify right side
    6,419.88x = 37,817,790.26
  5. Step 5: Solve for x
    x = 37,817,790.26/6,419.88
  6. Step 6: Final answer
    x = 5,890.73

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1.5x scale

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.