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Finding the Fourth Proportional to 2,455.45, 3,684.81 and 916.45

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Solution

The fourth proportional to 2,455.45, 3,684.81 and 916.45 is: 1,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.45 : 3,684.81 = 916.45 : x
  2. Step 2: Convert to fraction form
    2,455.45/3,684.81 = 916.45/x
  3. Step 3: Cross multiply
    2,455.45x = 3,684.81 × 916.45
  4. Step 4: Simplify right side
    2,455.45x = 3,376,944.12
  5. Step 5: Solve for x
    x = 3,376,944.12/2,455.45
  6. Step 6: Final answer
    x = 1,375.29

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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.