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Finding the Fourth Proportional to 7,190.78, 10,787.23 and 3,682.77

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Solution

The fourth proportional to 7,190.78, 10,787.23 and 3,682.77 is: 5,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.78 : 10,787.23 = 3,682.77 : x
  2. Step 2: Convert to fraction form
    7,190.78/10,787.23 = 3,682.77/x
  3. Step 3: Cross multiply
    7,190.78x = 10,787.23 × 3,682.77
  4. Step 4: Simplify right side
    7,190.78x = 39,726,830.46
  5. Step 5: Solve for x
    x = 39,726,830.46/7,190.78
  6. Step 6: Final answer
    x = 5,524.69

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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.