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Finding the Fourth Proportional to 2,728.15, 4,092.32 and 878.72

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Solution

The fourth proportional to 2,728.15, 4,092.32 and 878.72 is: 1,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.15 : 4,092.32 = 878.72 : x
  2. Step 2: Convert to fraction form
    2,728.15/4,092.32 = 878.72/x
  3. Step 3: Cross multiply
    2,728.15x = 4,092.32 × 878.72
  4. Step 4: Simplify right side
    2,728.15x = 3,595,985.17
  5. Step 5: Solve for x
    x = 3,595,985.17/2,728.15
  6. Step 6: Final answer
    x = 1,318.11

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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.