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Finding the Fourth Proportional to 7,661.96, 11,482.31 and 3,491.78

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Solution

The fourth proportional to 7,661.96, 11,482.31 and 3,491.78 is: 5,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.96 : 11,482.31 = 3,491.78 : x
  2. Step 2: Convert to fraction form
    7,661.96/11,482.31 = 3,491.78/x
  3. Step 3: Cross multiply
    7,661.96x = 11,482.31 × 3,491.78
  4. Step 4: Simplify right side
    7,661.96x = 40,093,700.41
  5. Step 5: Solve for x
    x = 40,093,700.41/7,661.96
  6. Step 6: Final answer
    x = 5,232.83

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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.