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Finding the Fourth Proportional to 3,046.75, 4,570.10 and 855.48

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Solution

The fourth proportional to 3,046.75, 4,570.10 and 855.48 is: 1,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.75 : 4,570.10 = 855.48 : x
  2. Step 2: Convert to fraction form
    3,046.75/4,570.10 = 855.48/x
  3. Step 3: Cross multiply
    3,046.75x = 4,570.10 × 855.48
  4. Step 4: Simplify right side
    3,046.75x = 3,909,619.86
  5. Step 5: Solve for x
    x = 3,909,619.86/3,046.75
  6. Step 6: Final answer
    x = 1,283.21

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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.