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Finding the Fourth Proportional to 2,304.26, 3,455.82 and 917.12

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Solution

The fourth proportional to 2,304.26, 3,455.82 and 917.12 is: 1,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.26 : 3,455.82 = 917.12 : x
  2. Step 2: Convert to fraction form
    2,304.26/3,455.82 = 917.12/x
  3. Step 3: Cross multiply
    2,304.26x = 3,455.82 × 917.12
  4. Step 4: Simplify right side
    2,304.26x = 3,169,401.64
  5. Step 5: Solve for x
    x = 3,169,401.64/2,304.26
  6. Step 6: Final answer
    x = 1,375.45

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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.