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Finding the Fourth Proportional to 8,538.56, 11,784.74 and 6,783.56

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Solution

The fourth proportional to 8,538.56, 11,784.74 and 6,783.56 is: 9,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.56 : 11,784.74 = 6,783.56 : x
  2. Step 2: Convert to fraction form
    8,538.56/11,784.74 = 6,783.56/x
  3. Step 3: Cross multiply
    8,538.56x = 11,784.74 × 6,783.56
  4. Step 4: Simplify right side
    8,538.56x = 79,942,490.87
  5. Step 5: Solve for x
    x = 79,942,490.87/8,538.56
  6. Step 6: Final answer
    x = 9,362.53

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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.