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Finding the Fourth Proportional to 6,731, 9,289.14 and 3,938.12

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Solution

The fourth proportional to 6,731, 9,289.14 and 3,938.12 is: 5,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731 : 9,289.14 = 3,938.12 : x
  2. Step 2: Convert to fraction form
    6,731/9,289.14 = 3,938.12/x
  3. Step 3: Cross multiply
    6,731x = 9,289.14 × 3,938.12
  4. Step 4: Simplify right side
    6,731x = 36,581,748.02
  5. Step 5: Solve for x
    x = 36,581,748.02/6,731
  6. Step 6: Final answer
    x = 5,434.82

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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.