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Finding the Fourth Proportional to 6,713.94, 9,261.50 and 6,238.78

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Solution

The fourth proportional to 6,713.94, 9,261.50 and 6,238.78 is: 8,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.94 : 9,261.50 = 6,238.78 : x
  2. Step 2: Convert to fraction form
    6,713.94/9,261.50 = 6,238.78/x
  3. Step 3: Cross multiply
    6,713.94x = 9,261.50 × 6,238.78
  4. Step 4: Simplify right side
    6,713.94x = 57,780,460.97
  5. Step 5: Solve for x
    x = 57,780,460.97/6,713.94
  6. Step 6: Final answer
    x = 8,606.04

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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.