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Finding the Fourth Proportional to 5,682.80, 7,839.76 and 3,792.60

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Solution

The fourth proportional to 5,682.80, 7,839.76 and 3,792.60 is: 5,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.80 : 7,839.76 = 3,792.60 : x
  2. Step 2: Convert to fraction form
    5,682.80/7,839.76 = 3,792.60/x
  3. Step 3: Cross multiply
    5,682.80x = 7,839.76 × 3,792.60
  4. Step 4: Simplify right side
    5,682.80x = 29,733,073.78
  5. Step 5: Solve for x
    x = 29,733,073.78/5,682.80
  6. Step 6: Final answer
    x = 5,232.12

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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.