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Finding the Fourth Proportional to 2,304.46, 3,456.28 and 917.68

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Solution

The fourth proportional to 2,304.46, 3,456.28 and 917.68 is: 1,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.46 : 3,456.28 = 917.68 : x
  2. Step 2: Convert to fraction form
    2,304.46/3,456.28 = 917.68/x
  3. Step 3: Cross multiply
    2,304.46x = 3,456.28 × 917.68
  4. Step 4: Simplify right side
    2,304.46x = 3,171,759.03
  5. Step 5: Solve for x
    x = 3,171,759.03/2,304.46
  6. Step 6: Final answer
    x = 1,376.36

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Double scale
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Similar ratio
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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.