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Finding the Fourth Proportional to 6,402.41, 9,609.61 and 3,942.03

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Solution

The fourth proportional to 6,402.41, 9,609.61 and 3,942.03 is: 5,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.41 : 9,609.61 = 3,942.03 : x
  2. Step 2: Convert to fraction form
    6,402.41/9,609.61 = 3,942.03/x
  3. Step 3: Cross multiply
    6,402.41x = 9,609.61 × 3,942.03
  4. Step 4: Simplify right side
    6,402.41x = 37,881,370.91
  5. Step 5: Solve for x
    x = 37,881,370.91/6,402.41
  6. Step 6: Final answer
    x = 5,916.74

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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.