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Finding the Fourth Proportional to 3,225, 4,837.68 and 916.68

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Solution

The fourth proportional to 3,225, 4,837.68 and 916.68 is: 1,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225 : 4,837.68 = 916.68 : x
  2. Step 2: Convert to fraction form
    3,225/4,837.68 = 916.68/x
  3. Step 3: Cross multiply
    3,225x = 4,837.68 × 916.68
  4. Step 4: Simplify right side
    3,225x = 4,434,604.50
  5. Step 5: Solve for x
    x = 4,434,604.50/3,225
  6. Step 6: Final answer
    x = 1,375.07

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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.