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Finding the Fourth Proportional to 3,185.25, 4,778.15 and 876.75

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Solution

The fourth proportional to 3,185.25, 4,778.15 and 876.75 is: 1,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.25 : 4,778.15 = 876.75 : x
  2. Step 2: Convert to fraction form
    3,185.25/4,778.15 = 876.75/x
  3. Step 3: Cross multiply
    3,185.25x = 4,778.15 × 876.75
  4. Step 4: Simplify right side
    3,185.25x = 4,189,238.63
  5. Step 5: Solve for x
    x = 4,189,238.63/3,185.25
  6. Step 6: Final answer
    x = 1,315.20

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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.