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Finding the Fourth Proportional to 6,419.39, 9,622.39 and 3,127.96

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Solution

The fourth proportional to 6,419.39, 9,622.39 and 3,127.96 is: 4,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.39 : 9,622.39 = 3,127.96 : x
  2. Step 2: Convert to fraction form
    6,419.39/9,622.39 = 3,127.96/x
  3. Step 3: Cross multiply
    6,419.39x = 9,622.39 × 3,127.96
  4. Step 4: Simplify right side
    6,419.39x = 30,098,451.02
  5. Step 5: Solve for x
    x = 30,098,451.02/6,419.39
  6. Step 6: Final answer
    x = 4,688.68

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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.