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Finding the Fourth Proportional to 3,475.88, 5,213.85 and 878.82

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Solution

The fourth proportional to 3,475.88, 5,213.85 and 878.82 is: 1,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.88 : 5,213.85 = 878.82 : x
  2. Step 2: Convert to fraction form
    3,475.88/5,213.85 = 878.82/x
  3. Step 3: Cross multiply
    3,475.88x = 5,213.85 × 878.82
  4. Step 4: Simplify right side
    3,475.88x = 4,582,035.66
  5. Step 5: Solve for x
    x = 4,582,035.66/3,475.88
  6. Step 6: Final answer
    x = 1,318.24

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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.