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Finding the Fourth Proportional to 6,839.61, 9,438.67 and 3,695.80

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Solution

The fourth proportional to 6,839.61, 9,438.67 and 3,695.80 is: 5,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.61 : 9,438.67 = 3,695.80 : x
  2. Step 2: Convert to fraction form
    6,839.61/9,438.67 = 3,695.80/x
  3. Step 3: Cross multiply
    6,839.61x = 9,438.67 × 3,695.80
  4. Step 4: Simplify right side
    6,839.61x = 34,883,457.62
  5. Step 5: Solve for x
    x = 34,883,457.62/6,839.61
  6. Step 6: Final answer
    x = 5,100.21

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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.