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Finding the Fourth Proportional to 6,641.76, 9,162 and 3,846.72

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Solution

The fourth proportional to 6,641.76, 9,162 and 3,846.72 is: 5,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.76 : 9,162 = 3,846.72 : x
  2. Step 2: Convert to fraction form
    6,641.76/9,162 = 3,846.72/x
  3. Step 3: Cross multiply
    6,641.76x = 9,162 × 3,846.72
  4. Step 4: Simplify right side
    6,641.76x = 35,243,648.64
  5. Step 5: Solve for x
    x = 35,243,648.64/6,641.76
  6. Step 6: Final answer
    x = 5,306.37

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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.