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Finding the Fourth Proportional to 3,056.82, 4,584.81 and 865.72

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Solution

The fourth proportional to 3,056.82, 4,584.81 and 865.72 is: 1,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.82 : 4,584.81 = 865.72 : x
  2. Step 2: Convert to fraction form
    3,056.82/4,584.81 = 865.72/x
  3. Step 3: Cross multiply
    3,056.82x = 4,584.81 × 865.72
  4. Step 4: Simplify right side
    3,056.82x = 3,969,161.71
  5. Step 5: Solve for x
    x = 3,969,161.71/3,056.82
  6. Step 6: Final answer
    x = 1,298.46

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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.