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Finding the Fourth Proportional to 3,056.49, 4,584.96 and 865.22

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Solution

The fourth proportional to 3,056.49, 4,584.96 and 865.22 is: 1,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.49 : 4,584.96 = 865.22 : x
  2. Step 2: Convert to fraction form
    3,056.49/4,584.96 = 865.22/x
  3. Step 3: Cross multiply
    3,056.49x = 4,584.96 × 865.22
  4. Step 4: Simplify right side
    3,056.49x = 3,966,976.17
  5. Step 5: Solve for x
    x = 3,966,976.17/3,056.49
  6. Step 6: Final answer
    x = 1,297.89

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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.