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Finding the Fourth Proportional to 7,839.90, 11,763.90 and 3,457.80

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Solution

The fourth proportional to 7,839.90, 11,763.90 and 3,457.80 is: 5,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.90 : 11,763.90 = 3,457.80 : x
  2. Step 2: Convert to fraction form
    7,839.90/11,763.90 = 3,457.80/x
  3. Step 3: Cross multiply
    7,839.90x = 11,763.90 × 3,457.80
  4. Step 4: Simplify right side
    7,839.90x = 40,677,213.42
  5. Step 5: Solve for x
    x = 40,677,213.42/7,839.90
  6. Step 6: Final answer
    x = 5,188.49

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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.