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Finding the Fourth Proportional to 6,783.86, 9,361.54 and 3,758.83

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Solution

The fourth proportional to 6,783.86, 9,361.54 and 3,758.83 is: 5,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.86 : 9,361.54 = 3,758.83 : x
  2. Step 2: Convert to fraction form
    6,783.86/9,361.54 = 3,758.83/x
  3. Step 3: Cross multiply
    6,783.86x = 9,361.54 × 3,758.83
  4. Step 4: Simplify right side
    6,783.86x = 35,188,437.40
  5. Step 5: Solve for x
    x = 35,188,437.40/6,783.86
  6. Step 6: Final answer
    x = 5,187.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.