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Finding the Fourth Proportional to 3,226, 4,839.18 and 917.68

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Solution

The fourth proportional to 3,226, 4,839.18 and 917.68 is: 1,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226 : 4,839.18 = 917.68 : x
  2. Step 2: Convert to fraction form
    3,226/4,839.18 = 917.68/x
  3. Step 3: Cross multiply
    3,226x = 4,839.18 × 917.68
  4. Step 4: Simplify right side
    3,226x = 4,440,818.70
  5. Step 5: Solve for x
    x = 4,440,818.70/3,226
  6. Step 6: Final answer
    x = 1,376.57

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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.