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Finding the Fourth Proportional to 2,455.12, 3,682.56 and 916

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Solution

The fourth proportional to 2,455.12, 3,682.56 and 916 is: 1,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.12 : 3,682.56 = 916 : x
  2. Step 2: Convert to fraction form
    2,455.12/3,682.56 = 916/x
  3. Step 3: Cross multiply
    2,455.12x = 3,682.56 × 916
  4. Step 4: Simplify right side
    2,455.12x = 3,373,224.96
  5. Step 5: Solve for x
    x = 3,373,224.96/2,455.12
  6. Step 6: Final answer
    x = 1,373.96

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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.