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Finding the Fourth Proportional to 6,938.82, 9,576.81 and 4,421.94

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Solution

The fourth proportional to 6,938.82, 9,576.81 and 4,421.94 is: 6,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.82 : 9,576.81 = 4,421.94 : x
  2. Step 2: Convert to fraction form
    6,938.82/9,576.81 = 4,421.94/x
  3. Step 3: Cross multiply
    6,938.82x = 9,576.81 × 4,421.94
  4. Step 4: Simplify right side
    6,938.82x = 42,348,079.21
  5. Step 5: Solve for x
    x = 42,348,079.21/6,938.82
  6. Step 6: Final answer
    x = 6,103.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.